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Finding the Fourth Proportional to 5,616, 8,412.93 and 2,834.46

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Solution

The fourth proportional to 5,616, 8,412.93 and 2,834.46 is: 4,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 8,412.93 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    5,616/8,412.93 = 2,834.46/x
  3. Step 3: Cross multiply
    5,616x = 8,412.93 × 2,834.46
  4. Step 4: Simplify right side
    5,616x = 23,846,113.57
  5. Step 5: Solve for x
    x = 23,846,113.57/5,616
  6. Step 6: Final answer
    x = 4,246.10

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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.