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Finding the Fourth Proportional to 5,297.10, 7,301.19 and 3,722.46

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Solution

The fourth proportional to 5,297.10, 7,301.19 and 3,722.46 is: 5,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.10 : 7,301.19 = 3,722.46 : x
  2. Step 2: Convert to fraction form
    5,297.10/7,301.19 = 3,722.46/x
  3. Step 3: Cross multiply
    5,297.10x = 7,301.19 × 3,722.46
  4. Step 4: Simplify right side
    5,297.10x = 27,178,387.73
  5. Step 5: Solve for x
    x = 27,178,387.73/5,297.10
  6. Step 6: Final answer
    x = 5,130.81

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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.