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Finding the Fourth Proportional to 5,009.44, 7,502.86 and 2,414.32

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Solution

The fourth proportional to 5,009.44, 7,502.86 and 2,414.32 is: 3,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.44 : 7,502.86 = 2,414.32 : x
  2. Step 2: Convert to fraction form
    5,009.44/7,502.86 = 2,414.32/x
  3. Step 3: Cross multiply
    5,009.44x = 7,502.86 × 2,414.32
  4. Step 4: Simplify right side
    5,009.44x = 18,114,304.96
  5. Step 5: Solve for x
    x = 18,114,304.96/5,009.44
  6. Step 6: Final answer
    x = 3,616.03

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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.