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Finding the Fourth Proportional to 3,424.46, 5,132.59 and 1,756.87

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Solution

The fourth proportional to 3,424.46, 5,132.59 and 1,756.87 is: 2,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.46 : 5,132.59 = 1,756.87 : x
  2. Step 2: Convert to fraction form
    3,424.46/5,132.59 = 1,756.87/x
  3. Step 3: Cross multiply
    3,424.46x = 5,132.59 × 1,756.87
  4. Step 4: Simplify right side
    3,424.46x = 9,017,309.98
  5. Step 5: Solve for x
    x = 9,017,309.98/3,424.46
  6. Step 6: Final answer
    x = 2,633.21

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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.