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Finding the Fourth Proportional to 3,534.97, 5,297.44 and 2,603.22

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Solution

The fourth proportional to 3,534.97, 5,297.44 and 2,603.22 is: 3,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.97 : 5,297.44 = 2,603.22 : x
  2. Step 2: Convert to fraction form
    3,534.97/5,297.44 = 2,603.22/x
  3. Step 3: Cross multiply
    3,534.97x = 5,297.44 × 2,603.22
  4. Step 4: Simplify right side
    3,534.97x = 13,790,401.76
  5. Step 5: Solve for x
    x = 13,790,401.76/3,534.97
  6. Step 6: Final answer
    x = 3,901.14

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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.