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Finding the Fourth Proportional to 4,047.57, 5,587.29 and 3,163.68

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Solution

The fourth proportional to 4,047.57, 5,587.29 and 3,163.68 is: 4,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.57 : 5,587.29 = 3,163.68 : x
  2. Step 2: Convert to fraction form
    4,047.57/5,587.29 = 3,163.68/x
  3. Step 3: Cross multiply
    4,047.57x = 5,587.29 × 3,163.68
  4. Step 4: Simplify right side
    4,047.57x = 17,676,397.63
  5. Step 5: Solve for x
    x = 17,676,397.63/4,047.57
  6. Step 6: Final answer
    x = 4,367.16

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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.