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Finding the Fourth Proportional to 4,468.08, 6,705.20 and 2,005.66

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Solution

The fourth proportional to 4,468.08, 6,705.20 and 2,005.66 is: 3,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.08 : 6,705.20 = 2,005.66 : x
  2. Step 2: Convert to fraction form
    4,468.08/6,705.20 = 2,005.66/x
  3. Step 3: Cross multiply
    4,468.08x = 6,705.20 × 2,005.66
  4. Step 4: Simplify right side
    4,468.08x = 13,448,364.83
  5. Step 5: Solve for x
    x = 13,448,364.83/4,468.08
  6. Step 6: Final answer
    x = 3,009.87

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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.