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Finding the Fourth Proportional to 4,065.83, 6,098.03 and 1,143.44

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Solution

The fourth proportional to 4,065.83, 6,098.03 and 1,143.44 is: 1,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.83 : 6,098.03 = 1,143.44 : x
  2. Step 2: Convert to fraction form
    4,065.83/6,098.03 = 1,143.44/x
  3. Step 3: Cross multiply
    4,065.83x = 6,098.03 × 1,143.44
  4. Step 4: Simplify right side
    4,065.83x = 6,972,731.42
  5. Step 5: Solve for x
    x = 6,972,731.42/4,065.83
  6. Step 6: Final answer
    x = 1,714.96

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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.