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Finding the Fourth Proportional to 3,807.02, 5,711 and 1,615.43

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Solution

The fourth proportional to 3,807.02, 5,711 and 1,615.43 is: 2,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.02 : 5,711 = 1,615.43 : x
  2. Step 2: Convert to fraction form
    3,807.02/5,711 = 1,615.43/x
  3. Step 3: Cross multiply
    3,807.02x = 5,711 × 1,615.43
  4. Step 4: Simplify right side
    3,807.02x = 9,225,720.73
  5. Step 5: Solve for x
    x = 9,225,720.73/3,807.02
  6. Step 6: Final answer
    x = 2,423.34

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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.