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Finding the Fourth Proportional to 5,632.22, 7,769.44 and 3,395

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Solution

The fourth proportional to 5,632.22, 7,769.44 and 3,395 is: 4,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.22 : 7,769.44 = 3,395 : x
  2. Step 2: Convert to fraction form
    5,632.22/7,769.44 = 3,395/x
  3. Step 3: Cross multiply
    5,632.22x = 7,769.44 × 3,395
  4. Step 4: Simplify right side
    5,632.22x = 26,377,248.80
  5. Step 5: Solve for x
    x = 26,377,248.80/5,632.22
  6. Step 6: Final answer
    x = 4,683.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.