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Finding the Fourth Proportional to 4,182.99, 5,770.47 and 3,519.60

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Solution

The fourth proportional to 4,182.99, 5,770.47 and 3,519.60 is: 4,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.99 : 5,770.47 = 3,519.60 : x
  2. Step 2: Convert to fraction form
    4,182.99/5,770.47 = 3,519.60/x
  3. Step 3: Cross multiply
    4,182.99x = 5,770.47 × 3,519.60
  4. Step 4: Simplify right side
    4,182.99x = 20,309,746.21
  5. Step 5: Solve for x
    x = 20,309,746.21/4,182.99
  6. Step 6: Final answer
    x = 4,855.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.