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Finding the Fourth Proportional to 3,136.01, 4,328.72 and 2,254.37

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Solution

The fourth proportional to 3,136.01, 4,328.72 and 2,254.37 is: 3,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.01 : 4,328.72 = 2,254.37 : x
  2. Step 2: Convert to fraction form
    3,136.01/4,328.72 = 2,254.37/x
  3. Step 3: Cross multiply
    3,136.01x = 4,328.72 × 2,254.37
  4. Step 4: Simplify right side
    3,136.01x = 9,758,542.23
  5. Step 5: Solve for x
    x = 9,758,542.23/3,136.01
  6. Step 6: Final answer
    x = 3,111.77

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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.