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Finding the Fourth Proportional to 6,160.44, 9,243.92 and 3,565.20

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Solution

The fourth proportional to 6,160.44, 9,243.92 and 3,565.20 is: 5,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.44 : 9,243.92 = 3,565.20 : x
  2. Step 2: Convert to fraction form
    6,160.44/9,243.92 = 3,565.20/x
  3. Step 3: Cross multiply
    6,160.44x = 9,243.92 × 3,565.20
  4. Step 4: Simplify right side
    6,160.44x = 32,956,423.58
  5. Step 5: Solve for x
    x = 32,956,423.58/6,160.44
  6. Step 6: Final answer
    x = 5,349.69

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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.