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Finding the Fourth Proportional to 3,343.14, 5,015.10 and 1,034.64

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Solution

The fourth proportional to 3,343.14, 5,015.10 and 1,034.64 is: 1,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.14 : 5,015.10 = 1,034.64 : x
  2. Step 2: Convert to fraction form
    3,343.14/5,015.10 = 1,034.64/x
  3. Step 3: Cross multiply
    3,343.14x = 5,015.10 × 1,034.64
  4. Step 4: Simplify right side
    3,343.14x = 5,188,823.06
  5. Step 5: Solve for x
    x = 5,188,823.06/3,343.14
  6. Step 6: Final answer
    x = 1,552.08

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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.