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Finding the Fourth Proportional to 4,312.25, 6,468.99 and 2,232.48

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Solution

The fourth proportional to 4,312.25, 6,468.99 and 2,232.48 is: 3,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.25 : 6,468.99 = 2,232.48 : x
  2. Step 2: Convert to fraction form
    4,312.25/6,468.99 = 2,232.48/x
  3. Step 3: Cross multiply
    4,312.25x = 6,468.99 × 2,232.48
  4. Step 4: Simplify right side
    4,312.25x = 14,441,890.80
  5. Step 5: Solve for x
    x = 14,441,890.80/4,312.25
  6. Step 6: Final answer
    x = 3,349.04

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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.