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Finding the Fourth Proportional to 3,299.94, 4,943.70 and 2,565.95

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Solution

The fourth proportional to 3,299.94, 4,943.70 and 2,565.95 is: 3,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.94 : 4,943.70 = 2,565.95 : x
  2. Step 2: Convert to fraction form
    3,299.94/4,943.70 = 2,565.95/x
  3. Step 3: Cross multiply
    3,299.94x = 4,943.70 × 2,565.95
  4. Step 4: Simplify right side
    3,299.94x = 12,685,262.30
  5. Step 5: Solve for x
    x = 12,685,262.30/3,299.94
  6. Step 6: Final answer
    x = 3,844.09

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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.