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Finding the Fourth Proportional to 3,913.68, 5,871.56 and 1,316.24

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Solution

The fourth proportional to 3,913.68, 5,871.56 and 1,316.24 is: 1,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.68 : 5,871.56 = 1,316.24 : x
  2. Step 2: Convert to fraction form
    3,913.68/5,871.56 = 1,316.24/x
  3. Step 3: Cross multiply
    3,913.68x = 5,871.56 × 1,316.24
  4. Step 4: Simplify right side
    3,913.68x = 7,728,382.13
  5. Step 5: Solve for x
    x = 7,728,382.13/3,913.68
  6. Step 6: Final answer
    x = 1,974.71

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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.