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Finding the Fourth Proportional to 3,602.10, 5,403.54 and 1,754.22

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Solution

The fourth proportional to 3,602.10, 5,403.54 and 1,754.22 is: 2,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.10 : 5,403.54 = 1,754.22 : x
  2. Step 2: Convert to fraction form
    3,602.10/5,403.54 = 1,754.22/x
  3. Step 3: Cross multiply
    3,602.10x = 5,403.54 × 1,754.22
  4. Step 4: Simplify right side
    3,602.10x = 9,478,997.94
  5. Step 5: Solve for x
    x = 9,478,997.94/3,602.10
  6. Step 6: Final answer
    x = 2,631.52

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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.