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Finding the Fourth Proportional to 3,820.39, 5,729.66 and 2,792.50

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Solution

The fourth proportional to 3,820.39, 5,729.66 and 2,792.50 is: 4,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.39 : 5,729.66 = 2,792.50 : x
  2. Step 2: Convert to fraction form
    3,820.39/5,729.66 = 2,792.50/x
  3. Step 3: Cross multiply
    3,820.39x = 5,729.66 × 2,792.50
  4. Step 4: Simplify right side
    3,820.39x = 16,000,075.55
  5. Step 5: Solve for x
    x = 16,000,075.55/3,820.39
  6. Step 6: Final answer
    x = 4,188.07

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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.