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Finding the Fourth Proportional to 5,531.88, 8,298.54 and 1,832.88

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Solution

The fourth proportional to 5,531.88, 8,298.54 and 1,832.88 is: 2,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.88 : 8,298.54 = 1,832.88 : x
  2. Step 2: Convert to fraction form
    5,531.88/8,298.54 = 1,832.88/x
  3. Step 3: Cross multiply
    5,531.88x = 8,298.54 × 1,832.88
  4. Step 4: Simplify right side
    5,531.88x = 15,210,228.00
  5. Step 5: Solve for x
    x = 15,210,228.00/5,531.88
  6. Step 6: Final answer
    x = 2,749.56

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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.