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Finding the Fourth Proportional to 3,565.42, 4,920.45 and 2,149.18

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Solution

The fourth proportional to 3,565.42, 4,920.45 and 2,149.18 is: 2,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.42 : 4,920.45 = 2,149.18 : x
  2. Step 2: Convert to fraction form
    3,565.42/4,920.45 = 2,149.18/x
  3. Step 3: Cross multiply
    3,565.42x = 4,920.45 × 2,149.18
  4. Step 4: Simplify right side
    3,565.42x = 10,574,940.05
  5. Step 5: Solve for x
    x = 10,574,940.05/3,565.42
  6. Step 6: Final answer
    x = 2,965.98

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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.