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Finding the Fourth Proportional to 3,565.76, 5,343.47 and 2,454.03

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Solution

The fourth proportional to 3,565.76, 5,343.47 and 2,454.03 is: 3,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.76 : 5,343.47 = 2,454.03 : x
  2. Step 2: Convert to fraction form
    3,565.76/5,343.47 = 2,454.03/x
  3. Step 3: Cross multiply
    3,565.76x = 5,343.47 × 2,454.03
  4. Step 4: Simplify right side
    3,565.76x = 13,113,032.62
  5. Step 5: Solve for x
    x = 13,113,032.62/3,565.76
  6. Step 6: Final answer
    x = 3,677.49

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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.