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Finding the Fourth Proportional to 4,143.30, 6,214.95 and 3,657.30

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Solution

The fourth proportional to 4,143.30, 6,214.95 and 3,657.30 is: 5,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.30 : 6,214.95 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    4,143.30/6,214.95 = 3,657.30/x
  3. Step 3: Cross multiply
    4,143.30x = 6,214.95 × 3,657.30
  4. Step 4: Simplify right side
    4,143.30x = 22,729,936.64
  5. Step 5: Solve for x
    x = 22,729,936.64/4,143.30
  6. Step 6: Final answer
    x = 5,485.95

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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.