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Finding the Fourth Proportional to 3,602.43, 5,405.47 and 2,565.43

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Solution

The fourth proportional to 3,602.43, 5,405.47 and 2,565.43 is: 3,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.43 : 5,405.47 = 2,565.43 : x
  2. Step 2: Convert to fraction form
    3,602.43/5,405.47 = 2,565.43/x
  3. Step 3: Cross multiply
    3,602.43x = 5,405.47 × 2,565.43
  4. Step 4: Simplify right side
    3,602.43x = 13,867,334.97
  5. Step 5: Solve for x
    x = 13,867,334.97/3,602.43
  6. Step 6: Final answer
    x = 3,849.44

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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.