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Finding the Fourth Proportional to 4,154.80, 6,232.02 and 1,034.82

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Solution

The fourth proportional to 4,154.80, 6,232.02 and 1,034.82 is: 1,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.80 : 6,232.02 = 1,034.82 : x
  2. Step 2: Convert to fraction form
    4,154.80/6,232.02 = 1,034.82/x
  3. Step 3: Cross multiply
    4,154.80x = 6,232.02 × 1,034.82
  4. Step 4: Simplify right side
    4,154.80x = 6,449,018.94
  5. Step 5: Solve for x
    x = 6,449,018.94/4,154.80
  6. Step 6: Final answer
    x = 1,552.19

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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.