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Finding the Fourth Proportional to 3,136.56, 4,328.76 and 1,810.32

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Solution

The fourth proportional to 3,136.56, 4,328.76 and 1,810.32 is: 2,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.56 : 4,328.76 = 1,810.32 : x
  2. Step 2: Convert to fraction form
    3,136.56/4,328.76 = 1,810.32/x
  3. Step 3: Cross multiply
    3,136.56x = 4,328.76 × 1,810.32
  4. Step 4: Simplify right side
    3,136.56x = 7,836,440.80
  5. Step 5: Solve for x
    x = 7,836,440.80/3,136.56
  6. Step 6: Final answer
    x = 2,498.42

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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.