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Finding the Fourth Proportional to 5,678,703.64, 7,836,570.08 and 3,100,384.42

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Solution

The fourth proportional to 5,678,703.64, 7,836,570.08 and 3,100,384.42 is: 4,278,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,703.64 : 7,836,570.08 = 3,100,384.42 : x
  2. Step 2: Convert to fraction form
    5,678,703.64/7,836,570.08 = 3,100,384.42/x
  3. Step 3: Cross multiply
    5,678,703.64x = 7,836,570.08 × 3,100,384.42
  4. Step 4: Simplify right side
    5,678,703.64x = 24,296,379,782,270.15
  5. Step 5: Solve for x
    x = 24,296,379,782,270.15/5,678,703.64
  6. Step 6: Final answer
    x = 4,278,508.15

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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.