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Finding the Fourth Proportional to 4,241.16, 5,854.02 and 2,562.30

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Solution

The fourth proportional to 4,241.16, 5,854.02 and 2,562.30 is: 3,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.16 : 5,854.02 = 2,562.30 : x
  2. Step 2: Convert to fraction form
    4,241.16/5,854.02 = 2,562.30/x
  3. Step 3: Cross multiply
    4,241.16x = 5,854.02 × 2,562.30
  4. Step 4: Simplify right side
    4,241.16x = 14,999,755.45
  5. Step 5: Solve for x
    x = 14,999,755.45/4,241.16
  6. Step 6: Final answer
    x = 3,536.71

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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.