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Finding the Fourth Proportional to 3,825.93, 5,737.01 and 2,245.05

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Solution

The fourth proportional to 3,825.93, 5,737.01 and 2,245.05 is: 3,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.93 : 5,737.01 = 2,245.05 : x
  2. Step 2: Convert to fraction form
    3,825.93/5,737.01 = 2,245.05/x
  3. Step 3: Cross multiply
    3,825.93x = 5,737.01 × 2,245.05
  4. Step 4: Simplify right side
    3,825.93x = 12,879,875.70
  5. Step 5: Solve for x
    x = 12,879,875.70/3,825.93
  6. Step 6: Final answer
    x = 3,366.47

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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.