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Finding the Fourth Proportional to 3,461.96, 5,187.71 and 2,580.30

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Solution

The fourth proportional to 3,461.96, 5,187.71 and 2,580.30 is: 3,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.96 : 5,187.71 = 2,580.30 : x
  2. Step 2: Convert to fraction form
    3,461.96/5,187.71 = 2,580.30/x
  3. Step 3: Cross multiply
    3,461.96x = 5,187.71 × 2,580.30
  4. Step 4: Simplify right side
    3,461.96x = 13,385,854.56
  5. Step 5: Solve for x
    x = 13,385,854.56/3,461.96
  6. Step 6: Final answer
    x = 3,866.55

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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.