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Finding the Fourth Proportional to 4,737.42, 7,107.12 and 1,617.66

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Solution

The fourth proportional to 4,737.42, 7,107.12 and 1,617.66 is: 2,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.42 : 7,107.12 = 1,617.66 : x
  2. Step 2: Convert to fraction form
    4,737.42/7,107.12 = 1,617.66/x
  3. Step 3: Cross multiply
    4,737.42x = 7,107.12 × 1,617.66
  4. Step 4: Simplify right side
    4,737.42x = 11,496,903.74
  5. Step 5: Solve for x
    x = 11,496,903.74/4,737.42
  6. Step 6: Final answer
    x = 2,426.83

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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.