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Finding the Fourth Proportional to 4,468.58, 6,703.97 and 2,005.13

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Solution

The fourth proportional to 4,468.58, 6,703.97 and 2,005.13 is: 3,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.58 : 6,703.97 = 2,005.13 : x
  2. Step 2: Convert to fraction form
    4,468.58/6,703.97 = 2,005.13/x
  3. Step 3: Cross multiply
    4,468.58x = 6,703.97 × 2,005.13
  4. Step 4: Simplify right side
    4,468.58x = 13,442,287.82
  5. Step 5: Solve for x
    x = 13,442,287.82/4,468.58
  6. Step 6: Final answer
    x = 3,008.18

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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.