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Finding the Fourth Proportional to 3,565.64, 5,349.33 and 1,374.53

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Solution

The fourth proportional to 3,565.64, 5,349.33 and 1,374.53 is: 2,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.64 : 5,349.33 = 1,374.53 : x
  2. Step 2: Convert to fraction form
    3,565.64/5,349.33 = 1,374.53/x
  3. Step 3: Cross multiply
    3,565.64x = 5,349.33 × 1,374.53
  4. Step 4: Simplify right side
    3,565.64x = 7,352,787.82
  5. Step 5: Solve for x
    x = 7,352,787.82/3,565.64
  6. Step 6: Final answer
    x = 2,062.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.