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Finding the Fourth Proportional to 3,354.89, 5,034 and 1,507.32

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Solution

The fourth proportional to 3,354.89, 5,034 and 1,507.32 is: 2,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.89 : 5,034 = 1,507.32 : x
  2. Step 2: Convert to fraction form
    3,354.89/5,034 = 1,507.32/x
  3. Step 3: Cross multiply
    3,354.89x = 5,034 × 1,507.32
  4. Step 4: Simplify right side
    3,354.89x = 7,587,848.88
  5. Step 5: Solve for x
    x = 7,587,848.88/3,354.89
  6. Step 6: Final answer
    x = 2,261.73

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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.