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Finding the Fourth Proportional to 6,101.24, 9,151.05 and 1,719.08

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Solution

The fourth proportional to 6,101.24, 9,151.05 and 1,719.08 is: 2,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.24 : 9,151.05 = 1,719.08 : x
  2. Step 2: Convert to fraction form
    6,101.24/9,151.05 = 1,719.08/x
  3. Step 3: Cross multiply
    6,101.24x = 9,151.05 × 1,719.08
  4. Step 4: Simplify right side
    6,101.24x = 15,731,387.03
  5. Step 5: Solve for x
    x = 15,731,387.03/6,101.24
  6. Step 6: Final answer
    x = 2,578.39

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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.