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Finding the Fourth Proportional to 3,561.84, 4,909.14 and 3,154.55

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Solution

The fourth proportional to 3,561.84, 4,909.14 and 3,154.55 is: 4,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.84 : 4,909.14 = 3,154.55 : x
  2. Step 2: Convert to fraction form
    3,561.84/4,909.14 = 3,154.55/x
  3. Step 3: Cross multiply
    3,561.84x = 4,909.14 × 3,154.55
  4. Step 4: Simplify right side
    3,561.84x = 15,486,103.04
  5. Step 5: Solve for x
    x = 15,486,103.04/3,561.84
  6. Step 6: Final answer
    x = 4,347.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.