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Finding the Fourth Proportional to 3,952.52, 5,929.09 and 1,178.98

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Solution

The fourth proportional to 3,952.52, 5,929.09 and 1,178.98 is: 1,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.52 : 5,929.09 = 1,178.98 : x
  2. Step 2: Convert to fraction form
    3,952.52/5,929.09 = 1,178.98/x
  3. Step 3: Cross multiply
    3,952.52x = 5,929.09 × 1,178.98
  4. Step 4: Simplify right side
    3,952.52x = 6,990,260.76
  5. Step 5: Solve for x
    x = 6,990,260.76/3,952.52
  6. Step 6: Final answer
    x = 1,768.56

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