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Finding the Fourth Proportional to 3,834.88, 5,292.80 and 2,263.04

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Solution

The fourth proportional to 3,834.88, 5,292.80 and 2,263.04 is: 3,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.88 : 5,292.80 = 2,263.04 : x
  2. Step 2: Convert to fraction form
    3,834.88/5,292.80 = 2,263.04/x
  3. Step 3: Cross multiply
    3,834.88x = 5,292.80 × 2,263.04
  4. Step 4: Simplify right side
    3,834.88x = 11,977,818.11
  5. Step 5: Solve for x
    x = 11,977,818.11/3,834.88
  6. Step 6: Final answer
    x = 3,123.39

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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.