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Finding the Fourth Proportional to 3,818.95, 5,270.10 and 2,140.42

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Solution

The fourth proportional to 3,818.95, 5,270.10 and 2,140.42 is: 2,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.95 : 5,270.10 = 2,140.42 : x
  2. Step 2: Convert to fraction form
    3,818.95/5,270.10 = 2,140.42/x
  3. Step 3: Cross multiply
    3,818.95x = 5,270.10 × 2,140.42
  4. Step 4: Simplify right side
    3,818.95x = 11,280,227.44
  5. Step 5: Solve for x
    x = 11,280,227.44/3,818.95
  6. Step 6: Final answer
    x = 2,953.75

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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.