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Finding the Fourth Proportional to 5,904.17, 8,147.82 and 3,251.68

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Solution

The fourth proportional to 5,904.17, 8,147.82 and 3,251.68 is: 4,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.17 : 8,147.82 = 3,251.68 : x
  2. Step 2: Convert to fraction form
    5,904.17/8,147.82 = 3,251.68/x
  3. Step 3: Cross multiply
    5,904.17x = 8,147.82 × 3,251.68
  4. Step 4: Simplify right side
    5,904.17x = 26,494,095.16
  5. Step 5: Solve for x
    x = 26,494,095.16/5,904.17
  6. Step 6: Final answer
    x = 4,487.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.