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Finding the Fourth Proportional to 4,031.73, 6,005.04 and 3,851.81

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Solution

The fourth proportional to 4,031.73, 6,005.04 and 3,851.81 is: 5,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.73 : 6,005.04 = 3,851.81 : x
  2. Step 2: Convert to fraction form
    4,031.73/6,005.04 = 3,851.81/x
  3. Step 3: Cross multiply
    4,031.73x = 6,005.04 × 3,851.81
  4. Step 4: Simplify right side
    4,031.73x = 23,130,273.12
  5. Step 5: Solve for x
    x = 23,130,273.12/4,031.73
  6. Step 6: Final answer
    x = 5,737.06

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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.