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Finding the Fourth Proportional to 3,565.20, 5,347.38 and 967.52

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Solution

The fourth proportional to 3,565.20, 5,347.38 and 967.52 is: 1,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.20 : 5,347.38 = 967.52 : x
  2. Step 2: Convert to fraction form
    3,565.20/5,347.38 = 967.52/x
  3. Step 3: Cross multiply
    3,565.20x = 5,347.38 × 967.52
  4. Step 4: Simplify right side
    3,565.20x = 5,173,697.10
  5. Step 5: Solve for x
    x = 5,173,697.10/3,565.20
  6. Step 6: Final answer
    x = 1,451.17

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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.