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Finding the Fourth Proportional to 3,815.88, 5,264.84 and 2,323.84

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Solution

The fourth proportional to 3,815.88, 5,264.84 and 2,323.84 is: 3,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.88 : 5,264.84 = 2,323.84 : x
  2. Step 2: Convert to fraction form
    3,815.88/5,264.84 = 2,323.84/x
  3. Step 3: Cross multiply
    3,815.88x = 5,264.84 × 2,323.84
  4. Step 4: Simplify right side
    3,815.88x = 12,234,645.79
  5. Step 5: Solve for x
    x = 12,234,645.79/3,815.88
  6. Step 6: Final answer
    x = 3,206.24

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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.