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Finding the Fourth Proportional to 4,728.40, 7,092.05 and 1,265.92

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Solution

The fourth proportional to 4,728.40, 7,092.05 and 1,265.92 is: 1,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.40 : 7,092.05 = 1,265.92 : x
  2. Step 2: Convert to fraction form
    4,728.40/7,092.05 = 1,265.92/x
  3. Step 3: Cross multiply
    4,728.40x = 7,092.05 × 1,265.92
  4. Step 4: Simplify right side
    4,728.40x = 8,977,967.94
  5. Step 5: Solve for x
    x = 8,977,967.94/4,728.40
  6. Step 6: Final answer
    x = 1,898.73

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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.