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Finding the Fourth Proportional to 3,838.47, 5,297.12 and 2,266.53

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Solution

The fourth proportional to 3,838.47, 5,297.12 and 2,266.53 is: 3,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.47 : 5,297.12 = 2,266.53 : x
  2. Step 2: Convert to fraction form
    3,838.47/5,297.12 = 2,266.53/x
  3. Step 3: Cross multiply
    3,838.47x = 5,297.12 × 2,266.53
  4. Step 4: Simplify right side
    3,838.47x = 12,006,081.39
  5. Step 5: Solve for x
    x = 12,006,081.39/3,838.47
  6. Step 6: Final answer
    x = 3,127.83

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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.