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Finding the Fourth Proportional to 5,043.75, 7,566.84 and 1,581

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Solution

The fourth proportional to 5,043.75, 7,566.84 and 1,581 is: 2,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.75 : 7,566.84 = 1,581 : x
  2. Step 2: Convert to fraction form
    5,043.75/7,566.84 = 1,581/x
  3. Step 3: Cross multiply
    5,043.75x = 7,566.84 × 1,581
  4. Step 4: Simplify right side
    5,043.75x = 11,963,174.04
  5. Step 5: Solve for x
    x = 11,963,174.04/5,043.75
  6. Step 6: Final answer
    x = 2,371.88

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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.