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Finding the Fourth Proportional to 3,603.05, 5,402.71 and 1,381.22

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Solution

The fourth proportional to 3,603.05, 5,402.71 and 1,381.22 is: 2,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.05 : 5,402.71 = 1,381.22 : x
  2. Step 2: Convert to fraction form
    3,603.05/5,402.71 = 1,381.22/x
  3. Step 3: Cross multiply
    3,603.05x = 5,402.71 × 1,381.22
  4. Step 4: Simplify right side
    3,603.05x = 7,462,331.11
  5. Step 5: Solve for x
    x = 7,462,331.11/3,603.05
  6. Step 6: Final answer
    x = 2,071.12

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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.