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Finding the Fourth Proportional to 3,437.68, 4,744.28 and 2,877.16

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Solution

The fourth proportional to 3,437.68, 4,744.28 and 2,877.16 is: 3,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.68 : 4,744.28 = 2,877.16 : x
  2. Step 2: Convert to fraction form
    3,437.68/4,744.28 = 2,877.16/x
  3. Step 3: Cross multiply
    3,437.68x = 4,744.28 × 2,877.16
  4. Step 4: Simplify right side
    3,437.68x = 13,650,052.64
  5. Step 5: Solve for x
    x = 13,650,052.64/3,437.68
  6. Step 6: Final answer
    x = 3,970.72

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