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Finding the Fourth Proportional to 5,655.96, 7,787.03 and 4,857.71

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Solution

The fourth proportional to 5,655.96, 7,787.03 and 4,857.71 is: 6,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.96 : 7,787.03 = 4,857.71 : x
  2. Step 2: Convert to fraction form
    5,655.96/7,787.03 = 4,857.71/x
  3. Step 3: Cross multiply
    5,655.96x = 7,787.03 × 4,857.71
  4. Step 4: Simplify right side
    5,655.96x = 37,827,070.28
  5. Step 5: Solve for x
    x = 37,827,070.28/5,655.96
  6. Step 6: Final answer
    x = 6,688.00

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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.