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Finding the Fourth Proportional to 3,482.16, 5,222.76 and 2,022

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Solution

The fourth proportional to 3,482.16, 5,222.76 and 2,022 is: 3,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.16 : 5,222.76 = 2,022 : x
  2. Step 2: Convert to fraction form
    3,482.16/5,222.76 = 2,022/x
  3. Step 3: Cross multiply
    3,482.16x = 5,222.76 × 2,022
  4. Step 4: Simplify right side
    3,482.16x = 10,560,420.72
  5. Step 5: Solve for x
    x = 10,560,420.72/3,482.16
  6. Step 6: Final answer
    x = 3,032.72

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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.