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Finding the Fourth Proportional to 3,136.75, 4,703.70 and 1,495.28

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Solution

The fourth proportional to 3,136.75, 4,703.70 and 1,495.28 is: 2,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.75 : 4,703.70 = 1,495.28 : x
  2. Step 2: Convert to fraction form
    3,136.75/4,703.70 = 1,495.28/x
  3. Step 3: Cross multiply
    3,136.75x = 4,703.70 × 1,495.28
  4. Step 4: Simplify right side
    3,136.75x = 7,033,348.54
  5. Step 5: Solve for x
    x = 7,033,348.54/3,136.75
  6. Step 6: Final answer
    x = 2,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.