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Finding the Fourth Proportional to 3,412.72, 5,115.04 and 1,952.88

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Solution

The fourth proportional to 3,412.72, 5,115.04 and 1,952.88 is: 2,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.72 : 5,115.04 = 1,952.88 : x
  2. Step 2: Convert to fraction form
    3,412.72/5,115.04 = 1,952.88/x
  3. Step 3: Cross multiply
    3,412.72x = 5,115.04 × 1,952.88
  4. Step 4: Simplify right side
    3,412.72x = 9,989,059.32
  5. Step 5: Solve for x
    x = 9,989,059.32/3,412.72
  6. Step 6: Final answer
    x = 2,927.01

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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.