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Finding the Fourth Proportional to 5,643, 8,466.12 and 2,181.24

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Solution

The fourth proportional to 5,643, 8,466.12 and 2,181.24 is: 3,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 8,466.12 = 2,181.24 : x
  2. Step 2: Convert to fraction form
    5,643/8,466.12 = 2,181.24/x
  3. Step 3: Cross multiply
    5,643x = 8,466.12 × 2,181.24
  4. Step 4: Simplify right side
    5,643x = 18,466,639.59
  5. Step 5: Solve for x
    x = 18,466,639.59/5,643
  6. Step 6: Final answer
    x = 3,272.49

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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.