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Finding the Fourth Proportional to 3,703.76, 5,550.84 and 2,772

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Solution

The fourth proportional to 3,703.76, 5,550.84 and 2,772 is: 4,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.76 : 5,550.84 = 2,772 : x
  2. Step 2: Convert to fraction form
    3,703.76/5,550.84 = 2,772/x
  3. Step 3: Cross multiply
    3,703.76x = 5,550.84 × 2,772
  4. Step 4: Simplify right side
    3,703.76x = 15,386,928.48
  5. Step 5: Solve for x
    x = 15,386,928.48/3,703.76
  6. Step 6: Final answer
    x = 4,154.41

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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.