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Finding the Fourth Proportional to 3,646.89, 5,027.13 and 2,859.57

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Solution

The fourth proportional to 3,646.89, 5,027.13 and 2,859.57 is: 3,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.89 : 5,027.13 = 2,859.57 : x
  2. Step 2: Convert to fraction form
    3,646.89/5,027.13 = 2,859.57/x
  3. Step 3: Cross multiply
    3,646.89x = 5,027.13 × 2,859.57
  4. Step 4: Simplify right side
    3,646.89x = 14,375,430.13
  5. Step 5: Solve for x
    x = 14,375,430.13/3,646.89
  6. Step 6: Final answer
    x = 3,941.83

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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.