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Finding the Fourth Proportional to 5,452.64, 7,522.68 and 3,565.30

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Solution

The fourth proportional to 5,452.64, 7,522.68 and 3,565.30 is: 4,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.64 : 7,522.68 = 3,565.30 : x
  2. Step 2: Convert to fraction form
    5,452.64/7,522.68 = 3,565.30/x
  3. Step 3: Cross multiply
    5,452.64x = 7,522.68 × 3,565.30
  4. Step 4: Simplify right side
    5,452.64x = 26,820,592.20
  5. Step 5: Solve for x
    x = 26,820,592.20/5,452.64
  6. Step 6: Final answer
    x = 4,918.83

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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.