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Finding the Fourth Proportional to 5,297.24, 7,946.40 and 1,833.68

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Solution

The fourth proportional to 5,297.24, 7,946.40 and 1,833.68 is: 2,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.24 : 7,946.40 = 1,833.68 : x
  2. Step 2: Convert to fraction form
    5,297.24/7,946.40 = 1,833.68/x
  3. Step 3: Cross multiply
    5,297.24x = 7,946.40 × 1,833.68
  4. Step 4: Simplify right side
    5,297.24x = 14,571,154.75
  5. Step 5: Solve for x
    x = 14,571,154.75/5,297.24
  6. Step 6: Final answer
    x = 2,750.71

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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.