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Finding the Fourth Proportional to 4,737.16, 7,105.74 and 1,658.44

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Solution

The fourth proportional to 4,737.16, 7,105.74 and 1,658.44 is: 2,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.16 : 7,105.74 = 1,658.44 : x
  2. Step 2: Convert to fraction form
    4,737.16/7,105.74 = 1,658.44/x
  3. Step 3: Cross multiply
    4,737.16x = 7,105.74 × 1,658.44
  4. Step 4: Simplify right side
    4,737.16x = 11,784,443.45
  5. Step 5: Solve for x
    x = 11,784,443.45/4,737.16
  6. Step 6: Final answer
    x = 2,487.66

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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.