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Finding the Fourth Proportional to 5,255.07, 7,844.13 and 4,632.31

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Solution

The fourth proportional to 5,255.07, 7,844.13 and 4,632.31 is: 6,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.07 : 7,844.13 = 4,632.31 : x
  2. Step 2: Convert to fraction form
    5,255.07/7,844.13 = 4,632.31/x
  3. Step 3: Cross multiply
    5,255.07x = 7,844.13 × 4,632.31
  4. Step 4: Simplify right side
    5,255.07x = 36,336,434.27
  5. Step 5: Solve for x
    x = 36,336,434.27/5,255.07
  6. Step 6: Final answer
    x = 6,914.55

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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.