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Finding the Fourth Proportional to 3,565.68, 4,920.66 and 2,074.55

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Solution

The fourth proportional to 3,565.68, 4,920.66 and 2,074.55 is: 2,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.68 : 4,920.66 = 2,074.55 : x
  2. Step 2: Convert to fraction form
    3,565.68/4,920.66 = 2,074.55/x
  3. Step 3: Cross multiply
    3,565.68x = 4,920.66 × 2,074.55
  4. Step 4: Simplify right side
    3,565.68x = 10,208,130.60
  5. Step 5: Solve for x
    x = 10,208,130.60/3,565.68
  6. Step 6: Final answer
    x = 2,862.88

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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.