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Finding the Fourth Proportional to 3,462.79, 4,778.76 and 2,136.46

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Solution

The fourth proportional to 3,462.79, 4,778.76 and 2,136.46 is: 2,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.79 : 4,778.76 = 2,136.46 : x
  2. Step 2: Convert to fraction form
    3,462.79/4,778.76 = 2,136.46/x
  3. Step 3: Cross multiply
    3,462.79x = 4,778.76 × 2,136.46
  4. Step 4: Simplify right side
    3,462.79x = 10,209,629.59
  5. Step 5: Solve for x
    x = 10,209,629.59/3,462.79
  6. Step 6: Final answer
    x = 2,948.38

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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.