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Finding the Fourth Proportional to 3,458.90, 4,773.86 and 2,042.94

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Solution

The fourth proportional to 3,458.90, 4,773.86 and 2,042.94 is: 2,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.90 : 4,773.86 = 2,042.94 : x
  2. Step 2: Convert to fraction form
    3,458.90/4,773.86 = 2,042.94/x
  3. Step 3: Cross multiply
    3,458.90x = 4,773.86 × 2,042.94
  4. Step 4: Simplify right side
    3,458.90x = 9,752,714.66
  5. Step 5: Solve for x
    x = 9,752,714.66/3,458.90
  6. Step 6: Final answer
    x = 2,819.60

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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.