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Finding the Fourth Proportional to 4,978.85, 7,464.83 and 2,204.01

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Solution

The fourth proportional to 4,978.85, 7,464.83 and 2,204.01 is: 3,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.85 : 7,464.83 = 2,204.01 : x
  2. Step 2: Convert to fraction form
    4,978.85/7,464.83 = 2,204.01/x
  3. Step 3: Cross multiply
    4,978.85x = 7,464.83 × 2,204.01
  4. Step 4: Simplify right side
    4,978.85x = 16,452,548.95
  5. Step 5: Solve for x
    x = 16,452,548.95/4,978.85
  6. Step 6: Final answer
    x = 3,304.49

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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.