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Finding the Fourth Proportional to 3,561.46, 5,343.95 and 1,714.14

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Solution

The fourth proportional to 3,561.46, 5,343.95 and 1,714.14 is: 2,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.46 : 5,343.95 = 1,714.14 : x
  2. Step 2: Convert to fraction form
    3,561.46/5,343.95 = 1,714.14/x
  3. Step 3: Cross multiply
    3,561.46x = 5,343.95 × 1,714.14
  4. Step 4: Simplify right side
    3,561.46x = 9,160,282.74
  5. Step 5: Solve for x
    x = 9,160,282.74/3,561.46
  6. Step 6: Final answer
    x = 2,572.06

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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.