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Finding the Fourth Proportional to 5,899.84, 8,850.16 and 2,202

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Solution

The fourth proportional to 5,899.84, 8,850.16 and 2,202 is: 3,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.84 : 8,850.16 = 2,202 : x
  2. Step 2: Convert to fraction form
    5,899.84/8,850.16 = 2,202/x
  3. Step 3: Cross multiply
    5,899.84x = 8,850.16 × 2,202
  4. Step 4: Simplify right side
    5,899.84x = 19,488,052.32
  5. Step 5: Solve for x
    x = 19,488,052.32/5,899.84
  6. Step 6: Final answer
    x = 3,303.15

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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.