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Finding the Fourth Proportional to 5,820.48, 8,685.72 and 5,197.48

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Solution

The fourth proportional to 5,820.48, 8,685.72 and 5,197.48 is: 7,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.48 : 8,685.72 = 5,197.48 : x
  2. Step 2: Convert to fraction form
    5,820.48/8,685.72 = 5,197.48/x
  3. Step 3: Cross multiply
    5,820.48x = 8,685.72 × 5,197.48
  4. Step 4: Simplify right side
    5,820.48x = 45,143,855.99
  5. Step 5: Solve for x
    x = 45,143,855.99/5,820.48
  6. Step 6: Final answer
    x = 7,756.04

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Why These Related Problems?

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