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Finding the Fourth Proportional to 5,549.58, 7,658.46 and 3,031.74

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Solution

The fourth proportional to 5,549.58, 7,658.46 and 3,031.74 is: 4,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.58 : 7,658.46 = 3,031.74 : x
  2. Step 2: Convert to fraction form
    5,549.58/7,658.46 = 3,031.74/x
  3. Step 3: Cross multiply
    5,549.58x = 7,658.46 × 3,031.74
  4. Step 4: Simplify right side
    5,549.58x = 23,218,459.52
  5. Step 5: Solve for x
    x = 23,218,459.52/5,549.58
  6. Step 6: Final answer
    x = 4,183.82

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