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Finding the Fourth Proportional to 3,356.20, 5,034.31 and 1,164.93

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Solution

The fourth proportional to 3,356.20, 5,034.31 and 1,164.93 is: 1,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.20 : 5,034.31 = 1,164.93 : x
  2. Step 2: Convert to fraction form
    3,356.20/5,034.31 = 1,164.93/x
  3. Step 3: Cross multiply
    3,356.20x = 5,034.31 × 1,164.93
  4. Step 4: Simplify right side
    3,356.20x = 5,864,615.84
  5. Step 5: Solve for x
    x = 5,864,615.84/3,356.20
  6. Step 6: Final answer
    x = 1,747.40

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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.