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Finding the Fourth Proportional to 3,354.56, 5,034.15 and 1,507.75

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Solution

The fourth proportional to 3,354.56, 5,034.15 and 1,507.75 is: 2,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.56 : 5,034.15 = 1,507.75 : x
  2. Step 2: Convert to fraction form
    3,354.56/5,034.15 = 1,507.75/x
  3. Step 3: Cross multiply
    3,354.56x = 5,034.15 × 1,507.75
  4. Step 4: Simplify right side
    3,354.56x = 7,590,239.66
  5. Step 5: Solve for x
    x = 7,590,239.66/3,354.56
  6. Step 6: Final answer
    x = 2,262.66

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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.