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Finding the Fourth Proportional to 5,681.76, 8,511.24 and 4,513.68

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Solution

The fourth proportional to 5,681.76, 8,511.24 and 4,513.68 is: 6,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.76 : 8,511.24 = 4,513.68 : x
  2. Step 2: Convert to fraction form
    5,681.76/8,511.24 = 4,513.68/x
  3. Step 3: Cross multiply
    5,681.76x = 8,511.24 × 4,513.68
  4. Step 4: Simplify right side
    5,681.76x = 38,417,013.76
  5. Step 5: Solve for x
    x = 38,417,013.76/5,681.76
  6. Step 6: Final answer
    x = 6,761.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.