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Finding the Fourth Proportional to 5,650.13, 8,480.43 and 4,070.48

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Solution

The fourth proportional to 5,650.13, 8,480.43 and 4,070.48 is: 6,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.13 : 8,480.43 = 4,070.48 : x
  2. Step 2: Convert to fraction form
    5,650.13/8,480.43 = 4,070.48/x
  3. Step 3: Cross multiply
    5,650.13x = 8,480.43 × 4,070.48
  4. Step 4: Simplify right side
    5,650.13x = 34,519,378.30
  5. Step 5: Solve for x
    x = 34,519,378.30/5,650.13
  6. Step 6: Final answer
    x = 6,109.49

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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.