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Finding the Fourth Proportional to 3,795.42, 5,237.49 and 2,116.53

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Solution

The fourth proportional to 3,795.42, 5,237.49 and 2,116.53 is: 2,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.42 : 5,237.49 = 2,116.53 : x
  2. Step 2: Convert to fraction form
    3,795.42/5,237.49 = 2,116.53/x
  3. Step 3: Cross multiply
    3,795.42x = 5,237.49 × 2,116.53
  4. Step 4: Simplify right side
    3,795.42x = 11,085,304.71
  5. Step 5: Solve for x
    x = 11,085,304.71/3,795.42
  6. Step 6: Final answer
    x = 2,920.71

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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.