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Finding the Fourth Proportional to 4,117.56, 6,173.80 and 1,519.80

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Solution

The fourth proportional to 4,117.56, 6,173.80 and 1,519.80 is: 2,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.56 : 6,173.80 = 1,519.80 : x
  2. Step 2: Convert to fraction form
    4,117.56/6,173.80 = 1,519.80/x
  3. Step 3: Cross multiply
    4,117.56x = 6,173.80 × 1,519.80
  4. Step 4: Simplify right side
    4,117.56x = 9,382,941.24
  5. Step 5: Solve for x
    x = 9,382,941.24/4,117.56
  6. Step 6: Final answer
    x = 2,278.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.