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Finding the Fourth Proportional to 3,851.08, 5,767.80 and 3,407.74

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Solution

The fourth proportional to 3,851.08, 5,767.80 and 3,407.74 is: 5,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.08 : 5,767.80 = 3,407.74 : x
  2. Step 2: Convert to fraction form
    3,851.08/5,767.80 = 3,407.74/x
  3. Step 3: Cross multiply
    3,851.08x = 5,767.80 × 3,407.74
  4. Step 4: Simplify right side
    3,851.08x = 19,655,162.77
  5. Step 5: Solve for x
    x = 19,655,162.77/3,851.08
  6. Step 6: Final answer
    x = 5,103.81

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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.