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Finding the Fourth Proportional to 4,361.63, 6,542.42 and 2,417.94

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Solution

The fourth proportional to 4,361.63, 6,542.42 and 2,417.94 is: 3,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.63 : 6,542.42 = 2,417.94 : x
  2. Step 2: Convert to fraction form
    4,361.63/6,542.42 = 2,417.94/x
  3. Step 3: Cross multiply
    4,361.63x = 6,542.42 × 2,417.94
  4. Step 4: Simplify right side
    4,361.63x = 15,819,166.93
  5. Step 5: Solve for x
    x = 15,819,166.93/4,361.63
  6. Step 6: Final answer
    x = 3,626.90

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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.