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Finding the Fourth Proportional to 5,653.92, 7,801.68 and 3,136.01

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Solution

The fourth proportional to 5,653.92, 7,801.68 and 3,136.01 is: 4,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.92 : 7,801.68 = 3,136.01 : x
  2. Step 2: Convert to fraction form
    5,653.92/7,801.68 = 3,136.01/x
  3. Step 3: Cross multiply
    5,653.92x = 7,801.68 × 3,136.01
  4. Step 4: Simplify right side
    5,653.92x = 24,466,146.50
  5. Step 5: Solve for x
    x = 24,466,146.50/5,653.92
  6. Step 6: Final answer
    x = 4,327.29

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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.