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Finding the Fourth Proportional to 4,270.75, 6,408.10 and 1,806.14

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Solution

The fourth proportional to 4,270.75, 6,408.10 and 1,806.14 is: 2,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.75 : 6,408.10 = 1,806.14 : x
  2. Step 2: Convert to fraction form
    4,270.75/6,408.10 = 1,806.14/x
  3. Step 3: Cross multiply
    4,270.75x = 6,408.10 × 1,806.14
  4. Step 4: Simplify right side
    4,270.75x = 11,573,925.73
  5. Step 5: Solve for x
    x = 11,573,925.73/4,270.75
  6. Step 6: Final answer
    x = 2,710.05

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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.