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Finding the Fourth Proportional to 3,602.09, 5,402.36 and 1,137.11

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Solution

The fourth proportional to 3,602.09, 5,402.36 and 1,137.11 is: 1,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.09 : 5,402.36 = 1,137.11 : x
  2. Step 2: Convert to fraction form
    3,602.09/5,402.36 = 1,137.11/x
  3. Step 3: Cross multiply
    3,602.09x = 5,402.36 × 1,137.11
  4. Step 4: Simplify right side
    3,602.09x = 6,143,053.41
  5. Step 5: Solve for x
    x = 6,143,053.41/3,602.09
  6. Step 6: Final answer
    x = 1,705.41

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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.