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Finding the Fourth Proportional to 4,136, 5,707.60 and 2,367.52

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Solution

The fourth proportional to 4,136, 5,707.60 and 2,367.52 is: 3,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136 : 5,707.60 = 2,367.52 : x
  2. Step 2: Convert to fraction form
    4,136/5,707.60 = 2,367.52/x
  3. Step 3: Cross multiply
    4,136x = 5,707.60 × 2,367.52
  4. Step 4: Simplify right side
    4,136x = 13,512,857.15
  5. Step 5: Solve for x
    x = 13,512,857.15/4,136
  6. Step 6: Final answer
    x = 3,267.13

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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.