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Finding the Fourth Proportional to 4,172.17, 6,256.12 and 1,397.84

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Solution

The fourth proportional to 4,172.17, 6,256.12 and 1,397.84 is: 2,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.17 : 6,256.12 = 1,397.84 : x
  2. Step 2: Convert to fraction form
    4,172.17/6,256.12 = 1,397.84/x
  3. Step 3: Cross multiply
    4,172.17x = 6,256.12 × 1,397.84
  4. Step 4: Simplify right side
    4,172.17x = 8,745,054.78
  5. Step 5: Solve for x
    x = 8,745,054.78/4,172.17
  6. Step 6: Final answer
    x = 2,096.04

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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.