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Finding the Fourth Proportional to 3,991.52, 5,507.84 and 2,312.76

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Solution

The fourth proportional to 3,991.52, 5,507.84 and 2,312.76 is: 3,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.52 : 5,507.84 = 2,312.76 : x
  2. Step 2: Convert to fraction form
    3,991.52/5,507.84 = 2,312.76/x
  3. Step 3: Cross multiply
    3,991.52x = 5,507.84 × 2,312.76
  4. Step 4: Simplify right side
    3,991.52x = 12,738,312.04
  5. Step 5: Solve for x
    x = 12,738,312.04/3,991.52
  6. Step 6: Final answer
    x = 3,191.34

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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.