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Finding the Fourth Proportional to 5,239.86, 7,232.13 and 3,002.10

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Solution

The fourth proportional to 5,239.86, 7,232.13 and 3,002.10 is: 4,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.86 : 7,232.13 = 3,002.10 : x
  2. Step 2: Convert to fraction form
    5,239.86/7,232.13 = 3,002.10/x
  3. Step 3: Cross multiply
    5,239.86x = 7,232.13 × 3,002.10
  4. Step 4: Simplify right side
    5,239.86x = 21,711,577.47
  5. Step 5: Solve for x
    x = 21,711,577.47/5,239.86
  6. Step 6: Final answer
    x = 4,143.54

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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.