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Finding the Fourth Proportional to 4,977.76, 7,468.32 and 2,204.05

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Solution

The fourth proportional to 4,977.76, 7,468.32 and 2,204.05 is: 3,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.76 : 7,468.32 = 2,204.05 : x
  2. Step 2: Convert to fraction form
    4,977.76/7,468.32 = 2,204.05/x
  3. Step 3: Cross multiply
    4,977.76x = 7,468.32 × 2,204.05
  4. Step 4: Simplify right side
    4,977.76x = 16,460,550.70
  5. Step 5: Solve for x
    x = 16,460,550.70/4,977.76
  6. Step 6: Final answer
    x = 3,306.82

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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.