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Finding the Fourth Proportional to 5,772, 7,966.14 and 3,254.63

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Solution

The fourth proportional to 5,772, 7,966.14 and 3,254.63 is: 4,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 7,966.14 = 3,254.63 : x
  2. Step 2: Convert to fraction form
    5,772/7,966.14 = 3,254.63/x
  3. Step 3: Cross multiply
    5,772x = 7,966.14 × 3,254.63
  4. Step 4: Simplify right side
    5,772x = 25,926,798.40
  5. Step 5: Solve for x
    x = 25,926,798.40/5,772
  6. Step 6: Final answer
    x = 4,491.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.