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Finding the Fourth Proportional to 5,152.34, 7,731.69 and 2,031.82

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Solution

The fourth proportional to 5,152.34, 7,731.69 and 2,031.82 is: 3,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.34 : 7,731.69 = 2,031.82 : x
  2. Step 2: Convert to fraction form
    5,152.34/7,731.69 = 2,031.82/x
  3. Step 3: Cross multiply
    5,152.34x = 7,731.69 × 2,031.82
  4. Step 4: Simplify right side
    5,152.34x = 15,709,375.43
  5. Step 5: Solve for x
    x = 15,709,375.43/5,152.34
  6. Step 6: Final answer
    x = 3,048.98

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