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Finding the Fourth Proportional to 3,776.90, 5,663.12 and 1,143.60

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Solution

The fourth proportional to 3,776.90, 5,663.12 and 1,143.60 is: 1,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.90 : 5,663.12 = 1,143.60 : x
  2. Step 2: Convert to fraction form
    3,776.90/5,663.12 = 1,143.60/x
  3. Step 3: Cross multiply
    3,776.90x = 5,663.12 × 1,143.60
  4. Step 4: Simplify right side
    3,776.90x = 6,476,338.31
  5. Step 5: Solve for x
    x = 6,476,338.31/3,776.90
  6. Step 6: Final answer
    x = 1,714.73

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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.