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Finding the Fourth Proportional to 5,397.64, 8,091.06 and 4,654.24

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Solution

The fourth proportional to 5,397.64, 8,091.06 and 4,654.24 is: 6,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.64 : 8,091.06 = 4,654.24 : x
  2. Step 2: Convert to fraction form
    5,397.64/8,091.06 = 4,654.24/x
  3. Step 3: Cross multiply
    5,397.64x = 8,091.06 × 4,654.24
  4. Step 4: Simplify right side
    5,397.64x = 37,657,735.09
  5. Step 5: Solve for x
    x = 37,657,735.09/5,397.64
  6. Step 6: Final answer
    x = 6,976.70

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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.