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Finding the Fourth Proportional to 3,644.28, 5,465.40 and 1,046.52

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Solution

The fourth proportional to 3,644.28, 5,465.40 and 1,046.52 is: 1,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.28 : 5,465.40 = 1,046.52 : x
  2. Step 2: Convert to fraction form
    3,644.28/5,465.40 = 1,046.52/x
  3. Step 3: Cross multiply
    3,644.28x = 5,465.40 × 1,046.52
  4. Step 4: Simplify right side
    3,644.28x = 5,719,650.41
  5. Step 5: Solve for x
    x = 5,719,650.41/3,644.28
  6. Step 6: Final answer
    x = 1,569.49

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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.