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Finding the Fourth Proportional to 3,602.56, 5,404.38 and 1,752.52

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Solution

The fourth proportional to 3,602.56, 5,404.38 and 1,752.52 is: 2,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.56 : 5,404.38 = 1,752.52 : x
  2. Step 2: Convert to fraction form
    3,602.56/5,404.38 = 1,752.52/x
  3. Step 3: Cross multiply
    3,602.56x = 5,404.38 × 1,752.52
  4. Step 4: Simplify right side
    3,602.56x = 9,471,284.04
  5. Step 5: Solve for x
    x = 9,471,284.04/3,602.56
  6. Step 6: Final answer
    x = 2,629.04

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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.