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Finding the Fourth Proportional to 4,468.67, 6,705.24 and 2,005.25

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Solution

The fourth proportional to 4,468.67, 6,705.24 and 2,005.25 is: 3,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.67 : 6,705.24 = 2,005.25 : x
  2. Step 2: Convert to fraction form
    4,468.67/6,705.24 = 2,005.25/x
  3. Step 3: Cross multiply
    4,468.67x = 6,705.24 × 2,005.25
  4. Step 4: Simplify right side
    4,468.67x = 13,445,682.51
  5. Step 5: Solve for x
    x = 13,445,682.51/4,468.67
  6. Step 6: Final answer
    x = 3,008.88

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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.