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Finding the Fourth Proportional to 5,678,665.84, 7,836,518.30 and 3,100,346.54

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Solution

The fourth proportional to 5,678,665.84, 7,836,518.30 and 3,100,346.54 is: 4,278,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,665.84 : 7,836,518.30 = 3,100,346.54 : x
  2. Step 2: Convert to fraction form
    5,678,665.84/7,836,518.30 = 3,100,346.54/x
  3. Step 3: Cross multiply
    5,678,665.84x = 7,836,518.30 × 3,100,346.54
  4. Step 4: Simplify right side
    5,678,665.84x = 24,295,922,397,051.68
  5. Step 5: Solve for x
    x = 24,295,922,397,051.68/5,678,665.84
  6. Step 6: Final answer
    x = 4,278,456.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.