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Finding the Fourth Proportional to 3,564.32, 5,345.88 and 966.68

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Solution

The fourth proportional to 3,564.32, 5,345.88 and 966.68 is: 1,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.32 : 5,345.88 = 966.68 : x
  2. Step 2: Convert to fraction form
    3,564.32/5,345.88 = 966.68/x
  3. Step 3: Cross multiply
    3,564.32x = 5,345.88 × 966.68
  4. Step 4: Simplify right side
    3,564.32x = 5,167,755.28
  5. Step 5: Solve for x
    x = 5,167,755.28/3,564.32
  6. Step 6: Final answer
    x = 1,449.86

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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.