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Finding the Fourth Proportional to 4,737.27, 7,105.88 and 1,274.52

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Solution

The fourth proportional to 4,737.27, 7,105.88 and 1,274.52 is: 1,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.27 : 7,105.88 = 1,274.52 : x
  2. Step 2: Convert to fraction form
    4,737.27/7,105.88 = 1,274.52/x
  3. Step 3: Cross multiply
    4,737.27x = 7,105.88 × 1,274.52
  4. Step 4: Simplify right side
    4,737.27x = 9,056,579.81
  5. Step 5: Solve for x
    x = 9,056,579.81/4,737.27
  6. Step 6: Final answer
    x = 1,911.77

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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.