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Finding the Fourth Proportional to 3,565.59, 5,348.84 and 1,374.94

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Solution

The fourth proportional to 3,565.59, 5,348.84 and 1,374.94 is: 2,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.59 : 5,348.84 = 1,374.94 : x
  2. Step 2: Convert to fraction form
    3,565.59/5,348.84 = 1,374.94/x
  3. Step 3: Cross multiply
    3,565.59x = 5,348.84 × 1,374.94
  4. Step 4: Simplify right side
    3,565.59x = 7,354,334.07
  5. Step 5: Solve for x
    x = 7,354,334.07/3,565.59
  6. Step 6: Final answer
    x = 2,062.59

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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.