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Finding the Fourth Proportional to 4,728.57, 7,096.02 and 1,650.57

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Solution

The fourth proportional to 4,728.57, 7,096.02 and 1,650.57 is: 2,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.57 : 7,096.02 = 1,650.57 : x
  2. Step 2: Convert to fraction form
    4,728.57/7,096.02 = 1,650.57/x
  3. Step 3: Cross multiply
    4,728.57x = 7,096.02 × 1,650.57
  4. Step 4: Simplify right side
    4,728.57x = 11,712,477.73
  5. Step 5: Solve for x
    x = 11,712,477.73/4,728.57
  6. Step 6: Final answer
    x = 2,476.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.