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Finding the Fourth Proportional to 4,143.65, 6,214.60 and 1,369.70

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Solution

The fourth proportional to 4,143.65, 6,214.60 and 1,369.70 is: 2,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.65 : 6,214.60 = 1,369.70 : x
  2. Step 2: Convert to fraction form
    4,143.65/6,214.60 = 1,369.70/x
  3. Step 3: Cross multiply
    4,143.65x = 6,214.60 × 1,369.70
  4. Step 4: Simplify right side
    4,143.65x = 8,512,103.12
  5. Step 5: Solve for x
    x = 8,512,103.12/4,143.65
  6. Step 6: Final answer
    x = 2,054.25

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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.