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Finding the Fourth Proportional to 3,627.84, 5,006.42 and 2,136.68

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Solution

The fourth proportional to 3,627.84, 5,006.42 and 2,136.68 is: 2,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.84 : 5,006.42 = 2,136.68 : x
  2. Step 2: Convert to fraction form
    3,627.84/5,006.42 = 2,136.68/x
  3. Step 3: Cross multiply
    3,627.84x = 5,006.42 × 2,136.68
  4. Step 4: Simplify right side
    3,627.84x = 10,697,148.74
  5. Step 5: Solve for x
    x = 10,697,148.74/3,627.84
  6. Step 6: Final answer
    x = 2,948.62

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1.5x scale

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.