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Finding the Fourth Proportional to 3,602.10, 4,968.66 and 2,761.44

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Solution

The fourth proportional to 3,602.10, 4,968.66 and 2,761.44 is: 3,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.10 : 4,968.66 = 2,761.44 : x
  2. Step 2: Convert to fraction form
    3,602.10/4,968.66 = 2,761.44/x
  3. Step 3: Cross multiply
    3,602.10x = 4,968.66 × 2,761.44
  4. Step 4: Simplify right side
    3,602.10x = 13,720,656.47
  5. Step 5: Solve for x
    x = 13,720,656.47/3,602.10
  6. Step 6: Final answer
    x = 3,809.07

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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.