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Finding the Fourth Proportional to 6,894.88, 10,335.84 and 3,428.32

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Solution

The fourth proportional to 6,894.88, 10,335.84 and 3,428.32 is: 5,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.88 : 10,335.84 = 3,428.32 : x
  2. Step 2: Convert to fraction form
    6,894.88/10,335.84 = 3,428.32/x
  3. Step 3: Cross multiply
    6,894.88x = 10,335.84 × 3,428.32
  4. Step 4: Simplify right side
    6,894.88x = 35,434,566.99
  5. Step 5: Solve for x
    x = 35,434,566.99/6,894.88
  6. Step 6: Final answer
    x = 5,139.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.