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Finding the Fourth Proportional to 4,763.74, 7,147.65 and 2,456.86

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Solution

The fourth proportional to 4,763.74, 7,147.65 and 2,456.86 is: 3,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.74 : 7,147.65 = 2,456.86 : x
  2. Step 2: Convert to fraction form
    4,763.74/7,147.65 = 2,456.86/x
  3. Step 3: Cross multiply
    4,763.74x = 7,147.65 × 2,456.86
  4. Step 4: Simplify right side
    4,763.74x = 17,560,775.38
  5. Step 5: Solve for x
    x = 17,560,775.38/4,763.74
  6. Step 6: Final answer
    x = 3,686.34

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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.