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Finding the Fourth Proportional to 3,358.47, 5,032.90 and 1,602.03

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Solution

The fourth proportional to 3,358.47, 5,032.90 and 1,602.03 is: 2,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.47 : 5,032.90 = 1,602.03 : x
  2. Step 2: Convert to fraction form
    3,358.47/5,032.90 = 1,602.03/x
  3. Step 3: Cross multiply
    3,358.47x = 5,032.90 × 1,602.03
  4. Step 4: Simplify right side
    3,358.47x = 8,062,856.79
  5. Step 5: Solve for x
    x = 8,062,856.79/3,358.47
  6. Step 6: Final answer
    x = 2,400.75

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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.