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Finding the Fourth Proportional to 3,172.16, 4,377.36 and 1,774.88

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Solution

The fourth proportional to 3,172.16, 4,377.36 and 1,774.88 is: 2,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.16 : 4,377.36 = 1,774.88 : x
  2. Step 2: Convert to fraction form
    3,172.16/4,377.36 = 1,774.88/x
  3. Step 3: Cross multiply
    3,172.16x = 4,377.36 × 1,774.88
  4. Step 4: Simplify right side
    3,172.16x = 7,769,288.72
  5. Step 5: Solve for x
    x = 7,769,288.72/3,172.16
  6. Step 6: Final answer
    x = 2,449.21

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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.