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Finding the Fourth Proportional to 4,488.52, 6,199.36 and 2,994

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Solution

The fourth proportional to 4,488.52, 6,199.36 and 2,994 is: 4,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.52 : 6,199.36 = 2,994 : x
  2. Step 2: Convert to fraction form
    4,488.52/6,199.36 = 2,994/x
  3. Step 3: Cross multiply
    4,488.52x = 6,199.36 × 2,994
  4. Step 4: Simplify right side
    4,488.52x = 18,560,883.84
  5. Step 5: Solve for x
    x = 18,560,883.84/4,488.52
  6. Step 6: Final answer
    x = 4,135.19

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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.