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Finding the Fourth Proportional to 5,484.38, 7,569.66 and 3,785.27

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Solution

The fourth proportional to 5,484.38, 7,569.66 and 3,785.27 is: 5,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.38 : 7,569.66 = 3,785.27 : x
  2. Step 2: Convert to fraction form
    5,484.38/7,569.66 = 3,785.27/x
  3. Step 3: Cross multiply
    5,484.38x = 7,569.66 × 3,785.27
  4. Step 4: Simplify right side
    5,484.38x = 28,653,169.06
  5. Step 5: Solve for x
    x = 28,653,169.06/5,484.38
  6. Step 6: Final answer
    x = 5,224.51

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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.