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Finding the Fourth Proportional to 5,551.29, 7,646.40 and 3,869.69

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Solution

The fourth proportional to 5,551.29, 7,646.40 and 3,869.69 is: 5,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.29 : 7,646.40 = 3,869.69 : x
  2. Step 2: Convert to fraction form
    5,551.29/7,646.40 = 3,869.69/x
  3. Step 3: Cross multiply
    5,551.29x = 7,646.40 × 3,869.69
  4. Step 4: Simplify right side
    5,551.29x = 29,589,159.38
  5. Step 5: Solve for x
    x = 29,589,159.38/5,551.29
  6. Step 6: Final answer
    x = 5,330.14

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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.