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Finding the Fourth Proportional to 5,531.69, 7,633.17 and 3,406.89

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Solution

The fourth proportional to 5,531.69, 7,633.17 and 3,406.89 is: 4,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.69 : 7,633.17 = 3,406.89 : x
  2. Step 2: Convert to fraction form
    5,531.69/7,633.17 = 3,406.89/x
  3. Step 3: Cross multiply
    5,531.69x = 7,633.17 × 3,406.89
  4. Step 4: Simplify right side
    5,531.69x = 26,005,399.17
  5. Step 5: Solve for x
    x = 26,005,399.17/5,531.69
  6. Step 6: Final answer
    x = 4,701.16

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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.