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Finding the Fourth Proportional to 5,549.74, 7,658.79 and 3,031.96

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Solution

The fourth proportional to 5,549.74, 7,658.79 and 3,031.96 is: 4,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.74 : 7,658.79 = 3,031.96 : x
  2. Step 2: Convert to fraction form
    5,549.74/7,658.79 = 3,031.96/x
  3. Step 3: Cross multiply
    5,549.74x = 7,658.79 × 3,031.96
  4. Step 4: Simplify right side
    5,549.74x = 23,221,120.02
  5. Step 5: Solve for x
    x = 23,221,120.02/5,549.74
  6. Step 6: Final answer
    x = 4,184.18

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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.