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Finding the Fourth Proportional to 5,238.24, 7,820.76 and 4,504.80

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Solution

The fourth proportional to 5,238.24, 7,820.76 and 4,504.80 is: 6,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.24 : 7,820.76 = 4,504.80 : x
  2. Step 2: Convert to fraction form
    5,238.24/7,820.76 = 4,504.80/x
  3. Step 3: Cross multiply
    5,238.24x = 7,820.76 × 4,504.80
  4. Step 4: Simplify right side
    5,238.24x = 35,230,959.65
  5. Step 5: Solve for x
    x = 35,230,959.65/5,238.24
  6. Step 6: Final answer
    x = 6,725.72

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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.