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Finding the Fourth Proportional to 4,938.76, 6,815.10 and 2,843.02

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Solution

The fourth proportional to 4,938.76, 6,815.10 and 2,843.02 is: 3,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.76 : 6,815.10 = 2,843.02 : x
  2. Step 2: Convert to fraction form
    4,938.76/6,815.10 = 2,843.02/x
  3. Step 3: Cross multiply
    4,938.76x = 6,815.10 × 2,843.02
  4. Step 4: Simplify right side
    4,938.76x = 19,375,465.60
  5. Step 5: Solve for x
    x = 19,375,465.60/4,938.76
  6. Step 6: Final answer
    x = 3,923.14

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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.