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Finding the Fourth Proportional to 5,452.47, 7,530.54 and 3,681

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Solution

The fourth proportional to 5,452.47, 7,530.54 and 3,681 is: 5,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.47 : 7,530.54 = 3,681 : x
  2. Step 2: Convert to fraction form
    5,452.47/7,530.54 = 3,681/x
  3. Step 3: Cross multiply
    5,452.47x = 7,530.54 × 3,681
  4. Step 4: Simplify right side
    5,452.47x = 27,719,917.74
  5. Step 5: Solve for x
    x = 27,719,917.74/5,452.47
  6. Step 6: Final answer
    x = 5,083.92

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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.