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Finding the Fourth Proportional to 5,240.24, 7,823.74 and 4,506.80

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Solution

The fourth proportional to 5,240.24, 7,823.74 and 4,506.80 is: 6,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.24 : 7,823.74 = 4,506.80 : x
  2. Step 2: Convert to fraction form
    5,240.24/7,823.74 = 4,506.80/x
  3. Step 3: Cross multiply
    5,240.24x = 7,823.74 × 4,506.80
  4. Step 4: Simplify right side
    5,240.24x = 35,260,031.43
  5. Step 5: Solve for x
    x = 35,260,031.43/5,240.24
  6. Step 6: Final answer
    x = 6,728.71

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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.