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Finding the Fourth Proportional to 4,763.62, 7,142.82 and 1,475.80

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Solution

The fourth proportional to 4,763.62, 7,142.82 and 1,475.80 is: 2,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.62 : 7,142.82 = 1,475.80 : x
  2. Step 2: Convert to fraction form
    4,763.62/7,142.82 = 1,475.80/x
  3. Step 3: Cross multiply
    4,763.62x = 7,142.82 × 1,475.80
  4. Step 4: Simplify right side
    4,763.62x = 10,541,373.76
  5. Step 5: Solve for x
    x = 10,541,373.76/4,763.62
  6. Step 6: Final answer
    x = 2,212.89

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