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Finding the Fourth Proportional to 3,773.07, 5,642.55 and 3,259.17

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Solution

The fourth proportional to 3,773.07, 5,642.55 and 3,259.17 is: 4,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.07 : 5,642.55 = 3,259.17 : x
  2. Step 2: Convert to fraction form
    3,773.07/5,642.55 = 3,259.17/x
  3. Step 3: Cross multiply
    3,773.07x = 5,642.55 × 3,259.17
  4. Step 4: Simplify right side
    3,773.07x = 18,390,029.68
  5. Step 5: Solve for x
    x = 18,390,029.68/3,773.07
  6. Step 6: Final answer
    x = 4,874.02

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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.