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Finding the Fourth Proportional to 3,482, 5,225.16 and 2,021.84

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Solution

The fourth proportional to 3,482, 5,225.16 and 2,021.84 is: 3,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482 : 5,225.16 = 2,021.84 : x
  2. Step 2: Convert to fraction form
    3,482/5,225.16 = 2,021.84/x
  3. Step 3: Cross multiply
    3,482x = 5,225.16 × 2,021.84
  4. Step 4: Simplify right side
    3,482x = 10,564,437.49
  5. Step 5: Solve for x
    x = 10,564,437.49/3,482
  6. Step 6: Final answer
    x = 3,034.01

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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.