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Finding the Fourth Proportional to 3,560.69, 5,342.16 and 1,711.94

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Solution

The fourth proportional to 3,560.69, 5,342.16 and 1,711.94 is: 2,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.69 : 5,342.16 = 1,711.94 : x
  2. Step 2: Convert to fraction form
    3,560.69/5,342.16 = 1,711.94/x
  3. Step 3: Cross multiply
    3,560.69x = 5,342.16 × 1,711.94
  4. Step 4: Simplify right side
    3,560.69x = 9,145,430.68
  5. Step 5: Solve for x
    x = 9,145,430.68/3,560.69
  6. Step 6: Final answer
    x = 2,568.45

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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.