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Finding the Fourth Proportional to 5,576.78, 7,695.88 and 3,186.91

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Solution

The fourth proportional to 5,576.78, 7,695.88 and 3,186.91 is: 4,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.78 : 7,695.88 = 3,186.91 : x
  2. Step 2: Convert to fraction form
    5,576.78/7,695.88 = 3,186.91/x
  3. Step 3: Cross multiply
    5,576.78x = 7,695.88 × 3,186.91
  4. Step 4: Simplify right side
    5,576.78x = 24,526,078.58
  5. Step 5: Solve for x
    x = 24,526,078.58/5,576.78
  6. Step 6: Final answer
    x = 4,397.89

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1.5x scale

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.