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Finding the Fourth Proportional to 6,085.34, 8,397.75 and 3,432.75

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Solution

The fourth proportional to 6,085.34, 8,397.75 and 3,432.75 is: 4,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.34 : 8,397.75 = 3,432.75 : x
  2. Step 2: Convert to fraction form
    6,085.34/8,397.75 = 3,432.75/x
  3. Step 3: Cross multiply
    6,085.34x = 8,397.75 × 3,432.75
  4. Step 4: Simplify right side
    6,085.34x = 28,827,404.93
  5. Step 5: Solve for x
    x = 28,827,404.93/6,085.34
  6. Step 6: Final answer
    x = 4,737.19

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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.