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Finding the Fourth Proportional to 3,508.31, 4,842.47 and 2,074.00

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Solution

The fourth proportional to 3,508.31, 4,842.47 and 2,074.00 is: 2,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.31 : 4,842.47 = 2,074.00 : x
  2. Step 2: Convert to fraction form
    3,508.31/4,842.47 = 2,074.00/x
  3. Step 3: Cross multiply
    3,508.31x = 4,842.47 × 2,074.00
  4. Step 4: Simplify right side
    3,508.31x = 10,043,260.30
  5. Step 5: Solve for x
    x = 10,043,260.30/3,508.31
  6. Step 6: Final answer
    x = 2,862.71

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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.