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Finding the Fourth Proportional to 5,654.91, 7,803.69 and 3,102.71

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Solution

The fourth proportional to 5,654.91, 7,803.69 and 3,102.71 is: 4,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.91 : 7,803.69 = 3,102.71 : x
  2. Step 2: Convert to fraction form
    5,654.91/7,803.69 = 3,102.71/x
  3. Step 3: Cross multiply
    5,654.91x = 7,803.69 × 3,102.71
  4. Step 4: Simplify right side
    5,654.91x = 24,212,553.80
  5. Step 5: Solve for x
    x = 24,212,553.80/5,654.91
  6. Step 6: Final answer
    x = 4,281.68

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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.