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Finding the Fourth Proportional to 4,032.66, 5,565.22 and 2,353.80

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Solution

The fourth proportional to 4,032.66, 5,565.22 and 2,353.80 is: 3,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.66 : 5,565.22 = 2,353.80 : x
  2. Step 2: Convert to fraction form
    4,032.66/5,565.22 = 2,353.80/x
  3. Step 3: Cross multiply
    4,032.66x = 5,565.22 × 2,353.80
  4. Step 4: Simplify right side
    4,032.66x = 13,099,414.84
  5. Step 5: Solve for x
    x = 13,099,414.84/4,032.66
  6. Step 6: Final answer
    x = 3,248.33

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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.