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Finding the Fourth Proportional to 4,613.65, 6,364.13 and 2,844

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Solution

The fourth proportional to 4,613.65, 6,364.13 and 2,844 is: 3,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.65 : 6,364.13 = 2,844 : x
  2. Step 2: Convert to fraction form
    4,613.65/6,364.13 = 2,844/x
  3. Step 3: Cross multiply
    4,613.65x = 6,364.13 × 2,844
  4. Step 4: Simplify right side
    4,613.65x = 18,099,571.50
  5. Step 5: Solve for x
    x = 18,099,571.50/4,613.65
  6. Step 6: Final answer
    x = 3,923.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.