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Finding the Fourth Proportional to 6,895.87, 9,517.87 and 4,208.02

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Solution

The fourth proportional to 6,895.87, 9,517.87 and 4,208.02 is: 5,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.87 : 9,517.87 = 4,208.02 : x
  2. Step 2: Convert to fraction form
    6,895.87/9,517.87 = 4,208.02/x
  3. Step 3: Cross multiply
    6,895.87x = 9,517.87 × 4,208.02
  4. Step 4: Simplify right side
    6,895.87x = 40,051,368.78
  5. Step 5: Solve for x
    x = 40,051,368.78/6,895.87
  6. Step 6: Final answer
    x = 5,808.02

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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.