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Finding the Fourth Proportional to 5,757.57, 8,646.72 and 5,294.46

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Solution

The fourth proportional to 5,757.57, 8,646.72 and 5,294.46 is: 7,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.57 : 8,646.72 = 5,294.46 : x
  2. Step 2: Convert to fraction form
    5,757.57/8,646.72 = 5,294.46/x
  3. Step 3: Cross multiply
    5,757.57x = 8,646.72 × 5,294.46
  4. Step 4: Simplify right side
    5,757.57x = 45,779,713.17
  5. Step 5: Solve for x
    x = 45,779,713.17/5,757.57
  6. Step 6: Final answer
    x = 7,951.22

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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.