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Finding the Fourth Proportional to 5,242.24, 7,234.72 and 3,146.32

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Solution

The fourth proportional to 5,242.24, 7,234.72 and 3,146.32 is: 4,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.24 : 7,234.72 = 3,146.32 : x
  2. Step 2: Convert to fraction form
    5,242.24/7,234.72 = 3,146.32/x
  3. Step 3: Cross multiply
    5,242.24x = 7,234.72 × 3,146.32
  4. Step 4: Simplify right side
    5,242.24x = 22,762,744.23
  5. Step 5: Solve for x
    x = 22,762,744.23/5,242.24
  6. Step 6: Final answer
    x = 4,342.18

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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.