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Finding the Fourth Proportional to 3,488.00, 4,810.01 and 3,199.88

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Solution

The fourth proportional to 3,488.00, 4,810.01 and 3,199.88 is: 4,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.00 : 4,810.01 = 3,199.88 : x
  2. Step 2: Convert to fraction form
    3,488.00/4,810.01 = 3,199.88/x
  3. Step 3: Cross multiply
    3,488.00x = 4,810.01 × 3,199.88
  4. Step 4: Simplify right side
    3,488.00x = 15,391,414.75
  5. Step 5: Solve for x
    x = 15,391,414.75/3,488.00
  6. Step 6: Final answer
    x = 4,412.68

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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.