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Finding the Fourth Proportional to 3,136.50, 4,328.69 and 1,957.34

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Solution

The fourth proportional to 3,136.50, 4,328.69 and 1,957.34 is: 2,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.50 : 4,328.69 = 1,957.34 : x
  2. Step 2: Convert to fraction form
    3,136.50/4,328.69 = 1,957.34/x
  3. Step 3: Cross multiply
    3,136.50x = 4,328.69 × 1,957.34
  4. Step 4: Simplify right side
    3,136.50x = 8,472,719.12
  5. Step 5: Solve for x
    x = 8,472,719.12/3,136.50
  6. Step 6: Final answer
    x = 2,701.33

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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.