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Finding the Fourth Proportional to 4,468.12, 6,702.72 and 2,158

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Solution

The fourth proportional to 4,468.12, 6,702.72 and 2,158 is: 3,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.12 : 6,702.72 = 2,158 : x
  2. Step 2: Convert to fraction form
    4,468.12/6,702.72 = 2,158/x
  3. Step 3: Cross multiply
    4,468.12x = 6,702.72 × 2,158
  4. Step 4: Simplify right side
    4,468.12x = 14,464,469.76
  5. Step 5: Solve for x
    x = 14,464,469.76/4,468.12
  6. Step 6: Final answer
    x = 3,237.26

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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.