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Finding the Fourth Proportional to 5,747.59, 8,616.81 and 5,286.30

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Solution

The fourth proportional to 5,747.59, 8,616.81 and 5,286.30 is: 7,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.59 : 8,616.81 = 5,286.30 : x
  2. Step 2: Convert to fraction form
    5,747.59/8,616.81 = 5,286.30/x
  3. Step 3: Cross multiply
    5,747.59x = 8,616.81 × 5,286.30
  4. Step 4: Simplify right side
    5,747.59x = 45,550,985.61
  5. Step 5: Solve for x
    x = 45,550,985.61/5,747.59
  6. Step 6: Final answer
    x = 7,925.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.