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Finding the Fourth Proportional to 3,981.69, 5,494.84 and 2,303.24

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Solution

The fourth proportional to 3,981.69, 5,494.84 and 2,303.24 is: 3,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.69 : 5,494.84 = 2,303.24 : x
  2. Step 2: Convert to fraction form
    3,981.69/5,494.84 = 2,303.24/x
  3. Step 3: Cross multiply
    3,981.69x = 5,494.84 × 2,303.24
  4. Step 4: Simplify right side
    3,981.69x = 12,655,902.05
  5. Step 5: Solve for x
    x = 12,655,902.05/3,981.69
  6. Step 6: Final answer
    x = 3,178.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.