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Finding the Fourth Proportional to 3,714.68, 5,125.24 and 2,297.69

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Solution

The fourth proportional to 3,714.68, 5,125.24 and 2,297.69 is: 3,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.68 : 5,125.24 = 2,297.69 : x
  2. Step 2: Convert to fraction form
    3,714.68/5,125.24 = 2,297.69/x
  3. Step 3: Cross multiply
    3,714.68x = 5,125.24 × 2,297.69
  4. Step 4: Simplify right side
    3,714.68x = 11,776,209.16
  5. Step 5: Solve for x
    x = 11,776,209.16/3,714.68
  6. Step 6: Final answer
    x = 3,170.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.