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Finding the Fourth Proportional to 5,147.19, 7,731.11 and 3,071.24

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Solution

The fourth proportional to 5,147.19, 7,731.11 and 3,071.24 is: 4,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.19 : 7,731.11 = 3,071.24 : x
  2. Step 2: Convert to fraction form
    5,147.19/7,731.11 = 3,071.24/x
  3. Step 3: Cross multiply
    5,147.19x = 7,731.11 × 3,071.24
  4. Step 4: Simplify right side
    5,147.19x = 23,744,094.28
  5. Step 5: Solve for x
    x = 23,744,094.28/5,147.19
  6. Step 6: Final answer
    x = 4,613.02

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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.