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Finding the Fourth Proportional to 5,654.22, 7,802.43 and 3,136.43

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Solution

The fourth proportional to 5,654.22, 7,802.43 and 3,136.43 is: 4,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.22 : 7,802.43 = 3,136.43 : x
  2. Step 2: Convert to fraction form
    5,654.22/7,802.43 = 3,136.43/x
  3. Step 3: Cross multiply
    5,654.22x = 7,802.43 × 3,136.43
  4. Step 4: Simplify right side
    5,654.22x = 24,471,775.52
  5. Step 5: Solve for x
    x = 24,471,775.52/5,654.22
  6. Step 6: Final answer
    x = 4,328.06

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1.5x scale

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.