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Finding the Fourth Proportional to 4,218.77, 5,829.63 and 3,657.44

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Solution

The fourth proportional to 4,218.77, 5,829.63 and 3,657.44 is: 5,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.77 : 5,829.63 = 3,657.44 : x
  2. Step 2: Convert to fraction form
    4,218.77/5,829.63 = 3,657.44/x
  3. Step 3: Cross multiply
    4,218.77x = 5,829.63 × 3,657.44
  4. Step 4: Simplify right side
    4,218.77x = 21,321,521.95
  5. Step 5: Solve for x
    x = 21,321,521.95/4,218.77
  6. Step 6: Final answer
    x = 5,053.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.