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Finding the Fourth Proportional to 4,065.19, 6,097.78 and 1,143.49

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Solution

The fourth proportional to 4,065.19, 6,097.78 and 1,143.49 is: 1,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.19 : 6,097.78 = 1,143.49 : x
  2. Step 2: Convert to fraction form
    4,065.19/6,097.78 = 1,143.49/x
  3. Step 3: Cross multiply
    4,065.19x = 6,097.78 × 1,143.49
  4. Step 4: Simplify right side
    4,065.19x = 6,972,757.36
  5. Step 5: Solve for x
    x = 6,972,757.36/4,065.19
  6. Step 6: Final answer
    x = 1,715.24

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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.