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Finding the Fourth Proportional to 3,987.64, 5,502.81 and 2,219.32

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Solution

The fourth proportional to 3,987.64, 5,502.81 and 2,219.32 is: 3,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.64 : 5,502.81 = 2,219.32 : x
  2. Step 2: Convert to fraction form
    3,987.64/5,502.81 = 2,219.32/x
  3. Step 3: Cross multiply
    3,987.64x = 5,502.81 × 2,219.32
  4. Step 4: Simplify right side
    3,987.64x = 12,212,496.29
  5. Step 5: Solve for x
    x = 12,212,496.29/3,987.64
  6. Step 6: Final answer
    x = 3,062.59

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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.