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Finding the Fourth Proportional to 5,002.71, 6,903.71 and 2,764.58

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Solution

The fourth proportional to 5,002.71, 6,903.71 and 2,764.58 is: 3,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.71 : 6,903.71 = 2,764.58 : x
  2. Step 2: Convert to fraction form
    5,002.71/6,903.71 = 2,764.58/x
  3. Step 3: Cross multiply
    5,002.71x = 6,903.71 × 2,764.58
  4. Step 4: Simplify right side
    5,002.71x = 19,085,810.25
  5. Step 5: Solve for x
    x = 19,085,810.25/5,002.71
  6. Step 6: Final answer
    x = 3,815.09

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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.