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Finding the Fourth Proportional to 4,220, 6,330.09 and 1,446.66

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Solution

The fourth proportional to 4,220, 6,330.09 and 1,446.66 is: 2,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220 : 6,330.09 = 1,446.66 : x
  2. Step 2: Convert to fraction form
    4,220/6,330.09 = 1,446.66/x
  3. Step 3: Cross multiply
    4,220x = 6,330.09 × 1,446.66
  4. Step 4: Simplify right side
    4,220x = 9,157,488.00
  5. Step 5: Solve for x
    x = 9,157,488.00/4,220
  6. Step 6: Final answer
    x = 2,170.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.