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Finding the Fourth Proportional to 4,569.68, 6,305.92 and 2,681

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Solution

The fourth proportional to 4,569.68, 6,305.92 and 2,681 is: 3,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.68 : 6,305.92 = 2,681 : x
  2. Step 2: Convert to fraction form
    4,569.68/6,305.92 = 2,681/x
  3. Step 3: Cross multiply
    4,569.68x = 6,305.92 × 2,681
  4. Step 4: Simplify right side
    4,569.68x = 16,906,171.52
  5. Step 5: Solve for x
    x = 16,906,171.52/4,569.68
  6. Step 6: Final answer
    x = 3,699.64

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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.