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Finding the Fourth Proportional to 3,356.64, 5,034.36 and 1,507.44

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Solution

The fourth proportional to 3,356.64, 5,034.36 and 1,507.44 is: 2,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.64 : 5,034.36 = 1,507.44 : x
  2. Step 2: Convert to fraction form
    3,356.64/5,034.36 = 1,507.44/x
  3. Step 3: Cross multiply
    3,356.64x = 5,034.36 × 1,507.44
  4. Step 4: Simplify right side
    3,356.64x = 7,588,995.64
  5. Step 5: Solve for x
    x = 7,588,995.64/3,356.64
  6. Step 6: Final answer
    x = 2,260.89

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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.