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Finding the Fourth Proportional to 4,640.39, 6,919.19 and 4,125.23

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Solution

The fourth proportional to 4,640.39, 6,919.19 and 4,125.23 is: 6,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.39 : 6,919.19 = 4,125.23 : x
  2. Step 2: Convert to fraction form
    4,640.39/6,919.19 = 4,125.23/x
  3. Step 3: Cross multiply
    4,640.39x = 6,919.19 × 4,125.23
  4. Step 4: Simplify right side
    4,640.39x = 28,543,250.16
  5. Step 5: Solve for x
    x = 28,543,250.16/4,640.39
  6. Step 6: Final answer
    x = 6,151.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.