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Finding the Fourth Proportional to 5,070.24, 7,601 and 2,150.60

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Solution

The fourth proportional to 5,070.24, 7,601 and 2,150.60 is: 3,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.24 : 7,601 = 2,150.60 : x
  2. Step 2: Convert to fraction form
    5,070.24/7,601 = 2,150.60/x
  3. Step 3: Cross multiply
    5,070.24x = 7,601 × 2,150.60
  4. Step 4: Simplify right side
    5,070.24x = 16,346,710.60
  5. Step 5: Solve for x
    x = 16,346,710.60/5,070.24
  6. Step 6: Final answer
    x = 3,224.05

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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.