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Finding the Fourth Proportional to 3,702.96, 5,088.72 and 3,531.64

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Solution

The fourth proportional to 3,702.96, 5,088.72 and 3,531.64 is: 4,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.96 : 5,088.72 = 3,531.64 : x
  2. Step 2: Convert to fraction form
    3,702.96/5,088.72 = 3,531.64/x
  3. Step 3: Cross multiply
    3,702.96x = 5,088.72 × 3,531.64
  4. Step 4: Simplify right side
    3,702.96x = 17,971,527.10
  5. Step 5: Solve for x
    x = 17,971,527.10/3,702.96
  6. Step 6: Final answer
    x = 4,853.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.