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Finding the Fourth Proportional to 5,242.98, 7,865.34 and 1,731.96

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Solution

The fourth proportional to 5,242.98, 7,865.34 and 1,731.96 is: 2,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.98 : 7,865.34 = 1,731.96 : x
  2. Step 2: Convert to fraction form
    5,242.98/7,865.34 = 1,731.96/x
  3. Step 3: Cross multiply
    5,242.98x = 7,865.34 × 1,731.96
  4. Step 4: Simplify right side
    5,242.98x = 13,622,454.27
  5. Step 5: Solve for x
    x = 13,622,454.27/5,242.98
  6. Step 6: Final answer
    x = 2,598.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.