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Finding the Fourth Proportional to 5,374, 8,061 and 1,911.25

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Solution

The fourth proportional to 5,374, 8,061 and 1,911.25 is: 2,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374 : 8,061 = 1,911.25 : x
  2. Step 2: Convert to fraction form
    5,374/8,061 = 1,911.25/x
  3. Step 3: Cross multiply
    5,374x = 8,061 × 1,911.25
  4. Step 4: Simplify right side
    5,374x = 15,406,586.25
  5. Step 5: Solve for x
    x = 15,406,586.25/5,374
  6. Step 6: Final answer
    x = 2,866.88

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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.