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Finding the Fourth Proportional to 5,155.62, 7,734.46 and 1,868.84

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Solution

The fourth proportional to 5,155.62, 7,734.46 and 1,868.84 is: 2,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.62 : 7,734.46 = 1,868.84 : x
  2. Step 2: Convert to fraction form
    5,155.62/7,734.46 = 1,868.84/x
  3. Step 3: Cross multiply
    5,155.62x = 7,734.46 × 1,868.84
  4. Step 4: Simplify right side
    5,155.62x = 14,454,468.23
  5. Step 5: Solve for x
    x = 14,454,468.23/5,155.62
  6. Step 6: Final answer
    x = 2,803.63

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1.5x scale

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.