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Finding the Fourth Proportional to 3,927.98, 5,892.76 and 1,154.74

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Solution

The fourth proportional to 3,927.98, 5,892.76 and 1,154.74 is: 1,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.98 : 5,892.76 = 1,154.74 : x
  2. Step 2: Convert to fraction form
    3,927.98/5,892.76 = 1,154.74/x
  3. Step 3: Cross multiply
    3,927.98x = 5,892.76 × 1,154.74
  4. Step 4: Simplify right side
    3,927.98x = 6,804,605.68
  5. Step 5: Solve for x
    x = 6,804,605.68/3,927.98
  6. Step 6: Final answer
    x = 1,732.34

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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.