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Finding the Fourth Proportional to 4,651.02, 7,008.50 and 3,847.30

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Solution

The fourth proportional to 4,651.02, 7,008.50 and 3,847.30 is: 5,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.02 : 7,008.50 = 3,847.30 : x
  2. Step 2: Convert to fraction form
    4,651.02/7,008.50 = 3,847.30/x
  3. Step 3: Cross multiply
    4,651.02x = 7,008.50 × 3,847.30
  4. Step 4: Simplify right side
    4,651.02x = 26,963,794.15
  5. Step 5: Solve for x
    x = 26,963,794.15/4,651.02
  6. Step 6: Final answer
    x = 5,797.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.