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Finding the Fourth Proportional to 3,924.56, 5,886.16 and 1,151.18

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Solution

The fourth proportional to 3,924.56, 5,886.16 and 1,151.18 is: 1,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.56 : 5,886.16 = 1,151.18 : x
  2. Step 2: Convert to fraction form
    3,924.56/5,886.16 = 1,151.18/x
  3. Step 3: Cross multiply
    3,924.56x = 5,886.16 × 1,151.18
  4. Step 4: Simplify right side
    3,924.56x = 6,776,029.67
  5. Step 5: Solve for x
    x = 6,776,029.67/3,924.56
  6. Step 6: Final answer
    x = 1,726.57

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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.