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Finding the Fourth Proportional to 5,199.29, 7,797.13 and 1,500.53

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Solution

The fourth proportional to 5,199.29, 7,797.13 and 1,500.53 is: 2,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.29 : 7,797.13 = 1,500.53 : x
  2. Step 2: Convert to fraction form
    5,199.29/7,797.13 = 1,500.53/x
  3. Step 3: Cross multiply
    5,199.29x = 7,797.13 × 1,500.53
  4. Step 4: Simplify right side
    5,199.29x = 11,699,784.74
  5. Step 5: Solve for x
    x = 11,699,784.74/5,199.29
  6. Step 6: Final answer
    x = 2,250.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.