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Finding the Fourth Proportional to 3,116.58, 4,674.26 and 1,143.42

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Solution

The fourth proportional to 3,116.58, 4,674.26 and 1,143.42 is: 1,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.58 : 4,674.26 = 1,143.42 : x
  2. Step 2: Convert to fraction form
    3,116.58/4,674.26 = 1,143.42/x
  3. Step 3: Cross multiply
    3,116.58x = 4,674.26 × 1,143.42
  4. Step 4: Simplify right side
    3,116.58x = 5,344,621.27
  5. Step 5: Solve for x
    x = 5,344,621.27/3,116.58
  6. Step 6: Final answer
    x = 1,714.90

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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.