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Finding the Fourth Proportional to 5,542, 8,314.37 and 1,646.39

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Solution

The fourth proportional to 5,542, 8,314.37 and 1,646.39 is: 2,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542 : 8,314.37 = 1,646.39 : x
  2. Step 2: Convert to fraction form
    5,542/8,314.37 = 1,646.39/x
  3. Step 3: Cross multiply
    5,542x = 8,314.37 × 1,646.39
  4. Step 4: Simplify right side
    5,542x = 13,688,695.62
  5. Step 5: Solve for x
    x = 13,688,695.62/5,542
  6. Step 6: Final answer
    x = 2,469.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.