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Finding the Fourth Proportional to 6,585.92, 9,878.89 and 2,690.33

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Solution

The fourth proportional to 6,585.92, 9,878.89 and 2,690.33 is: 4,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.92 : 9,878.89 = 2,690.33 : x
  2. Step 2: Convert to fraction form
    6,585.92/9,878.89 = 2,690.33/x
  3. Step 3: Cross multiply
    6,585.92x = 9,878.89 × 2,690.33
  4. Step 4: Simplify right side
    6,585.92x = 26,577,474.13
  5. Step 5: Solve for x
    x = 26,577,474.13/6,585.92
  6. Step 6: Final answer
    x = 4,035.50

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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.