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Finding the Fourth Proportional to 4,070.76, 6,076.92 and 3,781.69

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Solution

The fourth proportional to 4,070.76, 6,076.92 and 3,781.69 is: 5,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.76 : 6,076.92 = 3,781.69 : x
  2. Step 2: Convert to fraction form
    4,070.76/6,076.92 = 3,781.69/x
  3. Step 3: Cross multiply
    4,070.76x = 6,076.92 × 3,781.69
  4. Step 4: Simplify right side
    4,070.76x = 22,981,026.58
  5. Step 5: Solve for x
    x = 22,981,026.58/4,070.76
  6. Step 6: Final answer
    x = 5,645.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.