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Finding the Fourth Proportional to 4,243.62, 5,856.43 and 2,565.02

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Solution

The fourth proportional to 4,243.62, 5,856.43 and 2,565.02 is: 3,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.62 : 5,856.43 = 2,565.02 : x
  2. Step 2: Convert to fraction form
    4,243.62/5,856.43 = 2,565.02/x
  3. Step 3: Cross multiply
    4,243.62x = 5,856.43 × 2,565.02
  4. Step 4: Simplify right side
    4,243.62x = 15,021,860.08
  5. Step 5: Solve for x
    x = 15,021,860.08/4,243.62
  6. Step 6: Final answer
    x = 3,539.87

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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.