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Finding the Fourth Proportional to 4,347.12, 6,509.56 and 2,397.16

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Solution

The fourth proportional to 4,347.12, 6,509.56 and 2,397.16 is: 3,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.12 : 6,509.56 = 2,397.16 : x
  2. Step 2: Convert to fraction form
    4,347.12/6,509.56 = 2,397.16/x
  3. Step 3: Cross multiply
    4,347.12x = 6,509.56 × 2,397.16
  4. Step 4: Simplify right side
    4,347.12x = 15,604,456.85
  5. Step 5: Solve for x
    x = 15,604,456.85/4,347.12
  6. Step 6: Final answer
    x = 3,589.61

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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.