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Finding the Fourth Proportional to 6,335.47, 8,738.79 and 3,815.87

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Solution

The fourth proportional to 6,335.47, 8,738.79 and 3,815.87 is: 5,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.47 : 8,738.79 = 3,815.87 : x
  2. Step 2: Convert to fraction form
    6,335.47/8,738.79 = 3,815.87/x
  3. Step 3: Cross multiply
    6,335.47x = 8,738.79 × 3,815.87
  4. Step 4: Simplify right side
    6,335.47x = 33,346,086.60
  5. Step 5: Solve for x
    x = 33,346,086.60/6,335.47
  6. Step 6: Final answer
    x = 5,263.40

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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.