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Finding the Fourth Proportional to 5,724.59, 7,898.59 and 4,149.95

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Solution

The fourth proportional to 5,724.59, 7,898.59 and 4,149.95 is: 5,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.59 : 7,898.59 = 4,149.95 : x
  2. Step 2: Convert to fraction form
    5,724.59/7,898.59 = 4,149.95/x
  3. Step 3: Cross multiply
    5,724.59x = 7,898.59 × 4,149.95
  4. Step 4: Simplify right side
    5,724.59x = 32,778,753.57
  5. Step 5: Solve for x
    x = 32,778,753.57/5,724.59
  6. Step 6: Final answer
    x = 5,725.96

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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.