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Finding the Fourth Proportional to 5,482.57, 8,213.49 and 2,705.99

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Solution

The fourth proportional to 5,482.57, 8,213.49 and 2,705.99 is: 4,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.57 : 8,213.49 = 2,705.99 : x
  2. Step 2: Convert to fraction form
    5,482.57/8,213.49 = 2,705.99/x
  3. Step 3: Cross multiply
    5,482.57x = 8,213.49 × 2,705.99
  4. Step 4: Simplify right side
    5,482.57x = 22,225,621.81
  5. Step 5: Solve for x
    x = 22,225,621.81/5,482.57
  6. Step 6: Final answer
    x = 4,053.87

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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.