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Finding the Fourth Proportional to 3,904.80, 5,388.74 and 2,136.50

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Solution

The fourth proportional to 3,904.80, 5,388.74 and 2,136.50 is: 2,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.80 : 5,388.74 = 2,136.50 : x
  2. Step 2: Convert to fraction form
    3,904.80/5,388.74 = 2,136.50/x
  3. Step 3: Cross multiply
    3,904.80x = 5,388.74 × 2,136.50
  4. Step 4: Simplify right side
    3,904.80x = 11,513,005.38
  5. Step 5: Solve for x
    x = 11,513,005.38/3,904.80
  6. Step 6: Final answer
    x = 2,948.42

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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.