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Finding the Fourth Proportional to 4,640.86, 6,952.01 and 2,790.95

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Solution

The fourth proportional to 4,640.86, 6,952.01 and 2,790.95 is: 4,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.86 : 6,952.01 = 2,790.95 : x
  2. Step 2: Convert to fraction form
    4,640.86/6,952.01 = 2,790.95/x
  3. Step 3: Cross multiply
    4,640.86x = 6,952.01 × 2,790.95
  4. Step 4: Simplify right side
    4,640.86x = 19,402,715.73
  5. Step 5: Solve for x
    x = 19,402,715.73/4,640.86
  6. Step 6: Final answer
    x = 4,180.85

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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.