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Finding the Fourth Proportional to 4,773.90, 7,160.52 and 1,486.68

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Solution

The fourth proportional to 4,773.90, 7,160.52 and 1,486.68 is: 2,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.90 : 7,160.52 = 1,486.68 : x
  2. Step 2: Convert to fraction form
    4,773.90/7,160.52 = 1,486.68/x
  3. Step 3: Cross multiply
    4,773.90x = 7,160.52 × 1,486.68
  4. Step 4: Simplify right side
    4,773.90x = 10,645,401.87
  5. Step 5: Solve for x
    x = 10,645,401.87/4,773.90
  6. Step 6: Final answer
    x = 2,229.92

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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.