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Finding the Fourth Proportional to 3,145.73, 4,714.12 and 2,317.49

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Solution

The fourth proportional to 3,145.73, 4,714.12 and 2,317.49 is: 3,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.73 : 4,714.12 = 2,317.49 : x
  2. Step 2: Convert to fraction form
    3,145.73/4,714.12 = 2,317.49/x
  3. Step 3: Cross multiply
    3,145.73x = 4,714.12 × 2,317.49
  4. Step 4: Simplify right side
    3,145.73x = 10,924,925.96
  5. Step 5: Solve for x
    x = 10,924,925.96/3,145.73
  6. Step 6: Final answer
    x = 3,472.94

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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.