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Finding the Fourth Proportional to 4,870.48, 7,306.80 and 2,272

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Solution

The fourth proportional to 4,870.48, 7,306.80 and 2,272 is: 3,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.48 : 7,306.80 = 2,272 : x
  2. Step 2: Convert to fraction form
    4,870.48/7,306.80 = 2,272/x
  3. Step 3: Cross multiply
    4,870.48x = 7,306.80 × 2,272
  4. Step 4: Simplify right side
    4,870.48x = 16,601,049.60
  5. Step 5: Solve for x
    x = 16,601,049.60/4,870.48
  6. Step 6: Final answer
    x = 3,408.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.