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Finding the Fourth Proportional to 6,136.64, 9,208.80 and 2,488.64

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Solution

The fourth proportional to 6,136.64, 9,208.80 and 2,488.64 is: 3,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.64 : 9,208.80 = 2,488.64 : x
  2. Step 2: Convert to fraction form
    6,136.64/9,208.80 = 2,488.64/x
  3. Step 3: Cross multiply
    6,136.64x = 9,208.80 × 2,488.64
  4. Step 4: Simplify right side
    6,136.64x = 22,917,388.03
  5. Step 5: Solve for x
    x = 22,917,388.03/6,136.64
  6. Step 6: Final answer
    x = 3,734.52

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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.