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Finding the Fourth Proportional to 5,856.09, 8,080.83 and 3,338

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Solution

The fourth proportional to 5,856.09, 8,080.83 and 3,338 is: 4,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.09 : 8,080.83 = 3,338 : x
  2. Step 2: Convert to fraction form
    5,856.09/8,080.83 = 3,338/x
  3. Step 3: Cross multiply
    5,856.09x = 8,080.83 × 3,338
  4. Step 4: Simplify right side
    5,856.09x = 26,973,810.54
  5. Step 5: Solve for x
    x = 26,973,810.54/5,856.09
  6. Step 6: Final answer
    x = 4,606.11

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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.