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Finding the Fourth Proportional to 5,643.68, 7,787.68 and 3,125.39

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Solution

The fourth proportional to 5,643.68, 7,787.68 and 3,125.39 is: 4,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.68 : 7,787.68 = 3,125.39 : x
  2. Step 2: Convert to fraction form
    5,643.68/7,787.68 = 3,125.39/x
  3. Step 3: Cross multiply
    5,643.68x = 7,787.68 × 3,125.39
  4. Step 4: Simplify right side
    5,643.68x = 24,339,490.44
  5. Step 5: Solve for x
    x = 24,339,490.44/5,643.68
  6. Step 6: Final answer
    x = 4,312.70

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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.