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Finding the Fourth Proportional to 5,232.56, 7,851.56 and 2,312.88

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Solution

The fourth proportional to 5,232.56, 7,851.56 and 2,312.88 is: 3,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.56 : 7,851.56 = 2,312.88 : x
  2. Step 2: Convert to fraction form
    5,232.56/7,851.56 = 2,312.88/x
  3. Step 3: Cross multiply
    5,232.56x = 7,851.56 × 2,312.88
  4. Step 4: Simplify right side
    5,232.56x = 18,159,716.09
  5. Step 5: Solve for x
    x = 18,159,716.09/5,232.56
  6. Step 6: Final answer
    x = 3,470.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.