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Finding the Fourth Proportional to 4,112.84, 5,637.65 and 4,057.46

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Solution

The fourth proportional to 4,112.84, 5,637.65 and 4,057.46 is: 5,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.84 : 5,637.65 = 4,057.46 : x
  2. Step 2: Convert to fraction form
    4,112.84/5,637.65 = 4,057.46/x
  3. Step 3: Cross multiply
    4,112.84x = 5,637.65 × 4,057.46
  4. Step 4: Simplify right side
    4,112.84x = 22,874,539.37
  5. Step 5: Solve for x
    x = 22,874,539.37/4,112.84
  6. Step 6: Final answer
    x = 5,561.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.