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Finding the Fourth Proportional to 3,818.83, 5,270.19 and 2,140.77

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Solution

The fourth proportional to 3,818.83, 5,270.19 and 2,140.77 is: 2,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.83 : 5,270.19 = 2,140.77 : x
  2. Step 2: Convert to fraction form
    3,818.83/5,270.19 = 2,140.77/x
  3. Step 3: Cross multiply
    3,818.83x = 5,270.19 × 2,140.77
  4. Step 4: Simplify right side
    3,818.83x = 11,282,281.48
  5. Step 5: Solve for x
    x = 11,282,281.48/3,818.83
  6. Step 6: Final answer
    x = 2,954.38

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Why These Related Problems?

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