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Finding the Fourth Proportional to 3,356.40, 5,034.66 and 1,165.20

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Solution

The fourth proportional to 3,356.40, 5,034.66 and 1,165.20 is: 1,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.40 : 5,034.66 = 1,165.20 : x
  2. Step 2: Convert to fraction form
    3,356.40/5,034.66 = 1,165.20/x
  3. Step 3: Cross multiply
    3,356.40x = 5,034.66 × 1,165.20
  4. Step 4: Simplify right side
    3,356.40x = 5,866,390.90
  5. Step 5: Solve for x
    x = 5,866,390.90/3,356.40
  6. Step 6: Final answer
    x = 1,747.82

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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.