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Finding the Fourth Proportional to 3,775.42, 5,663.94 and 1,143.13

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Solution

The fourth proportional to 3,775.42, 5,663.94 and 1,143.13 is: 1,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.42 : 5,663.94 = 1,143.13 : x
  2. Step 2: Convert to fraction form
    3,775.42/5,663.94 = 1,143.13/x
  3. Step 3: Cross multiply
    3,775.42x = 5,663.94 × 1,143.13
  4. Step 4: Simplify right side
    3,775.42x = 6,474,619.73
  5. Step 5: Solve for x
    x = 6,474,619.73/3,775.42
  6. Step 6: Final answer
    x = 1,714.94

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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.