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Finding the Fourth Proportional to 4,773.42, 7,160.40 and 1,486.62

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Solution

The fourth proportional to 4,773.42, 7,160.40 and 1,486.62 is: 2,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.42 : 7,160.40 = 1,486.62 : x
  2. Step 2: Convert to fraction form
    4,773.42/7,160.40 = 1,486.62/x
  3. Step 3: Cross multiply
    4,773.42x = 7,160.40 × 1,486.62
  4. Step 4: Simplify right side
    4,773.42x = 10,644,793.85
  5. Step 5: Solve for x
    x = 10,644,793.85/4,773.42
  6. Step 6: Final answer
    x = 2,230.01

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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.