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Finding the Fourth Proportional to 3,902.44, 5,388.98 and 2,507.64

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Solution

The fourth proportional to 3,902.44, 5,388.98 and 2,507.64 is: 3,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.44 : 5,388.98 = 2,507.64 : x
  2. Step 2: Convert to fraction form
    3,902.44/5,388.98 = 2,507.64/x
  3. Step 3: Cross multiply
    3,902.44x = 5,388.98 × 2,507.64
  4. Step 4: Simplify right side
    3,902.44x = 13,513,621.81
  5. Step 5: Solve for x
    x = 13,513,621.81/3,902.44
  6. Step 6: Final answer
    x = 3,462.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.