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Finding the Fourth Proportional to 3,172.32, 4,378 and 1,775.12

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Solution

The fourth proportional to 3,172.32, 4,378 and 1,775.12 is: 2,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.32 : 4,378 = 1,775.12 : x
  2. Step 2: Convert to fraction form
    3,172.32/4,378 = 1,775.12/x
  3. Step 3: Cross multiply
    3,172.32x = 4,378 × 1,775.12
  4. Step 4: Simplify right side
    3,172.32x = 7,771,475.36
  5. Step 5: Solve for x
    x = 7,771,475.36/3,172.32
  6. Step 6: Final answer
    x = 2,449.78

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Why These Related Problems?

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