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Finding the Fourth Proportional to 3,465.21, 5,168.61 and 3,361.47

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Solution

The fourth proportional to 3,465.21, 5,168.61 and 3,361.47 is: 5,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.21 : 5,168.61 = 3,361.47 : x
  2. Step 2: Convert to fraction form
    3,465.21/5,168.61 = 3,361.47/x
  3. Step 3: Cross multiply
    3,465.21x = 5,168.61 × 3,361.47
  4. Step 4: Simplify right side
    3,465.21x = 17,374,127.46
  5. Step 5: Solve for x
    x = 17,374,127.46/3,465.21
  6. Step 6: Final answer
    x = 5,013.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.