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Finding the Fourth Proportional to 6,397.52, 9,598.20 and 4,054.88

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Solution

The fourth proportional to 6,397.52, 9,598.20 and 4,054.88 is: 6,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.52 : 9,598.20 = 4,054.88 : x
  2. Step 2: Convert to fraction form
    6,397.52/9,598.20 = 4,054.88/x
  3. Step 3: Cross multiply
    6,397.52x = 9,598.20 × 4,054.88
  4. Step 4: Simplify right side
    6,397.52x = 38,919,549.22
  5. Step 5: Solve for x
    x = 38,919,549.22/6,397.52
  6. Step 6: Final answer
    x = 6,083.54

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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.