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Finding the Fourth Proportional to 3,602.10, 5,402.70 and 1,261.68

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Solution

The fourth proportional to 3,602.10, 5,402.70 and 1,261.68 is: 1,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.10 : 5,402.70 = 1,261.68 : x
  2. Step 2: Convert to fraction form
    3,602.10/5,402.70 = 1,261.68/x
  3. Step 3: Cross multiply
    3,602.10x = 5,402.70 × 1,261.68
  4. Step 4: Simplify right side
    3,602.10x = 6,816,478.54
  5. Step 5: Solve for x
    x = 6,816,478.54/3,602.10
  6. Step 6: Final answer
    x = 1,892.36

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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.