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Finding the Fourth Proportional to 3,773.25, 5,202.63 and 2,657.88

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Solution

The fourth proportional to 3,773.25, 5,202.63 and 2,657.88 is: 3,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.25 : 5,202.63 = 2,657.88 : x
  2. Step 2: Convert to fraction form
    3,773.25/5,202.63 = 2,657.88/x
  3. Step 3: Cross multiply
    3,773.25x = 5,202.63 × 2,657.88
  4. Step 4: Simplify right side
    3,773.25x = 13,827,966.22
  5. Step 5: Solve for x
    x = 13,827,966.22/3,773.25
  6. Step 6: Final answer
    x = 3,664.74

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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.