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Finding the Fourth Proportional to 4,148.32, 5,723.04 and 2,889.04

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Solution

The fourth proportional to 4,148.32, 5,723.04 and 2,889.04 is: 3,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.32 : 5,723.04 = 2,889.04 : x
  2. Step 2: Convert to fraction form
    4,148.32/5,723.04 = 2,889.04/x
  3. Step 3: Cross multiply
    4,148.32x = 5,723.04 × 2,889.04
  4. Step 4: Simplify right side
    4,148.32x = 16,534,091.48
  5. Step 5: Solve for x
    x = 16,534,091.48/4,148.32
  6. Step 6: Final answer
    x = 3,985.73

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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.