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Finding the Fourth Proportional to 3,565.35, 4,919.54 and 2,149.47

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Solution

The fourth proportional to 3,565.35, 4,919.54 and 2,149.47 is: 2,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.35 : 4,919.54 = 2,149.47 : x
  2. Step 2: Convert to fraction form
    3,565.35/4,919.54 = 2,149.47/x
  3. Step 3: Cross multiply
    3,565.35x = 4,919.54 × 2,149.47
  4. Step 4: Simplify right side
    3,565.35x = 10,574,392.90
  5. Step 5: Solve for x
    x = 10,574,392.90/3,565.35
  6. Step 6: Final answer
    x = 2,965.88

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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.