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Finding the Fourth Proportional to 4,220, 6,327.68 and 1,445.12

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Solution

The fourth proportional to 4,220, 6,327.68 and 1,445.12 is: 2,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220 : 6,327.68 = 1,445.12 : x
  2. Step 2: Convert to fraction form
    4,220/6,327.68 = 1,445.12/x
  3. Step 3: Cross multiply
    4,220x = 6,327.68 × 1,445.12
  4. Step 4: Simplify right side
    4,220x = 9,144,256.92
  5. Step 5: Solve for x
    x = 9,144,256.92/4,220
  6. Step 6: Final answer
    x = 2,166.89

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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.