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Finding the Fourth Proportional to 5,780.53, 7,977.10 and 3,127.91

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Solution

The fourth proportional to 5,780.53, 7,977.10 and 3,127.91 is: 4,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.53 : 7,977.10 = 3,127.91 : x
  2. Step 2: Convert to fraction form
    5,780.53/7,977.10 = 3,127.91/x
  3. Step 3: Cross multiply
    5,780.53x = 7,977.10 × 3,127.91
  4. Step 4: Simplify right side
    5,780.53x = 24,951,635.22
  5. Step 5: Solve for x
    x = 24,951,635.22/5,780.53
  6. Step 6: Final answer
    x = 4,316.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.