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Finding the Fourth Proportional to 5,155.85, 7,733.78 and 1,868.95

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Solution

The fourth proportional to 5,155.85, 7,733.78 and 1,868.95 is: 2,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.85 : 7,733.78 = 1,868.95 : x
  2. Step 2: Convert to fraction form
    5,155.85/7,733.78 = 1,868.95/x
  3. Step 3: Cross multiply
    5,155.85x = 7,733.78 × 1,868.95
  4. Step 4: Simplify right side
    5,155.85x = 14,454,022.96
  5. Step 5: Solve for x
    x = 14,454,022.96/5,155.85
  6. Step 6: Final answer
    x = 2,803.42

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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.