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Finding the Fourth Proportional to 4,467.12, 6,702.12 and 2,160.24

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Solution

The fourth proportional to 4,467.12, 6,702.12 and 2,160.24 is: 3,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.12 : 6,702.12 = 2,160.24 : x
  2. Step 2: Convert to fraction form
    4,467.12/6,702.12 = 2,160.24/x
  3. Step 3: Cross multiply
    4,467.12x = 6,702.12 × 2,160.24
  4. Step 4: Simplify right side
    4,467.12x = 14,478,187.71
  5. Step 5: Solve for x
    x = 14,478,187.71/4,467.12
  6. Step 6: Final answer
    x = 3,241.06

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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.