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Finding the Fourth Proportional to 3,780.96, 5,218.80 and 2,209.92

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Solution

The fourth proportional to 3,780.96, 5,218.80 and 2,209.92 is: 3,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.96 : 5,218.80 = 2,209.92 : x
  2. Step 2: Convert to fraction form
    3,780.96/5,218.80 = 2,209.92/x
  3. Step 3: Cross multiply
    3,780.96x = 5,218.80 × 2,209.92
  4. Step 4: Simplify right side
    3,780.96x = 11,533,130.50
  5. Step 5: Solve for x
    x = 11,533,130.50/3,780.96
  6. Step 6: Final answer
    x = 3,050.32

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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.