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Finding the Fourth Proportional to 3,521.68, 4,854.32 and 2,774.48

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Solution

The fourth proportional to 3,521.68, 4,854.32 and 2,774.48 is: 3,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.68 : 4,854.32 = 2,774.48 : x
  2. Step 2: Convert to fraction form
    3,521.68/4,854.32 = 2,774.48/x
  3. Step 3: Cross multiply
    3,521.68x = 4,854.32 × 2,774.48
  4. Step 4: Simplify right side
    3,521.68x = 13,468,213.75
  5. Step 5: Solve for x
    x = 13,468,213.75/3,521.68
  6. Step 6: Final answer
    x = 3,824.37

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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.