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Finding the Fourth Proportional to 5,142, 7,714.36 and 2,951.50

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Solution

The fourth proportional to 5,142, 7,714.36 and 2,951.50 is: 4,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142 : 7,714.36 = 2,951.50 : x
  2. Step 2: Convert to fraction form
    5,142/7,714.36 = 2,951.50/x
  3. Step 3: Cross multiply
    5,142x = 7,714.36 × 2,951.50
  4. Step 4: Simplify right side
    5,142x = 22,768,933.54
  5. Step 5: Solve for x
    x = 22,768,933.54/5,142
  6. Step 6: Final answer
    x = 4,428.03

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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.