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Finding the Fourth Proportional to 5,371.74, 8,057.64 and 2,448

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Solution

The fourth proportional to 5,371.74, 8,057.64 and 2,448 is: 3,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.74 : 8,057.64 = 2,448 : x
  2. Step 2: Convert to fraction form
    5,371.74/8,057.64 = 2,448/x
  3. Step 3: Cross multiply
    5,371.74x = 8,057.64 × 2,448
  4. Step 4: Simplify right side
    5,371.74x = 19,725,102.72
  5. Step 5: Solve for x
    x = 19,725,102.72/5,371.74
  6. Step 6: Final answer
    x = 3,672.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.