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Finding the Fourth Proportional to 3,748.02, 5,622.02 and 1,282.87

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Solution

The fourth proportional to 3,748.02, 5,622.02 and 1,282.87 is: 1,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.02 : 5,622.02 = 1,282.87 : x
  2. Step 2: Convert to fraction form
    3,748.02/5,622.02 = 1,282.87/x
  3. Step 3: Cross multiply
    3,748.02x = 5,622.02 × 1,282.87
  4. Step 4: Simplify right side
    3,748.02x = 7,212,320.80
  5. Step 5: Solve for x
    x = 7,212,320.80/3,748.02
  6. Step 6: Final answer
    x = 1,924.30

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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.