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Finding the Fourth Proportional to 3,565.38, 5,348.09 and 1,484.09

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Solution

The fourth proportional to 3,565.38, 5,348.09 and 1,484.09 is: 2,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.38 : 5,348.09 = 1,484.09 : x
  2. Step 2: Convert to fraction form
    3,565.38/5,348.09 = 1,484.09/x
  3. Step 3: Cross multiply
    3,565.38x = 5,348.09 × 1,484.09
  4. Step 4: Simplify right side
    3,565.38x = 7,937,012.73
  5. Step 5: Solve for x
    x = 7,937,012.73/3,565.38
  6. Step 6: Final answer
    x = 2,226.13

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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.