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Finding the Fourth Proportional to 6,519.34, 8,994 and 3,865.78

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Solution

The fourth proportional to 6,519.34, 8,994 and 3,865.78 is: 5,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.34 : 8,994 = 3,865.78 : x
  2. Step 2: Convert to fraction form
    6,519.34/8,994 = 3,865.78/x
  3. Step 3: Cross multiply
    6,519.34x = 8,994 × 3,865.78
  4. Step 4: Simplify right side
    6,519.34x = 34,768,825.32
  5. Step 5: Solve for x
    x = 34,768,825.32/6,519.34
  6. Step 6: Final answer
    x = 5,333.18

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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.