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Finding the Fourth Proportional to 3,136.61, 4,723.25 and 2,320.64

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Solution

The fourth proportional to 3,136.61, 4,723.25 and 2,320.64 is: 3,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.61 : 4,723.25 = 2,320.64 : x
  2. Step 2: Convert to fraction form
    3,136.61/4,723.25 = 2,320.64/x
  3. Step 3: Cross multiply
    3,136.61x = 4,723.25 × 2,320.64
  4. Step 4: Simplify right side
    3,136.61x = 10,960,927.66
  5. Step 5: Solve for x
    x = 10,960,927.66/3,136.61
  6. Step 6: Final answer
    x = 3,494.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.