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Finding the Fourth Proportional to 3,367.36, 4,651.84 and 2,488

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Solution

The fourth proportional to 3,367.36, 4,651.84 and 2,488 is: 3,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.36 : 4,651.84 = 2,488 : x
  2. Step 2: Convert to fraction form
    3,367.36/4,651.84 = 2,488/x
  3. Step 3: Cross multiply
    3,367.36x = 4,651.84 × 2,488
  4. Step 4: Simplify right side
    3,367.36x = 11,573,777.92
  5. Step 5: Solve for x
    x = 11,573,777.92/3,367.36
  6. Step 6: Final answer
    x = 3,437.05

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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.