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Finding the Fourth Proportional to 5,212.64, 7,813.50 and 1,923.68

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Solution

The fourth proportional to 5,212.64, 7,813.50 and 1,923.68 is: 2,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.64 : 7,813.50 = 1,923.68 : x
  2. Step 2: Convert to fraction form
    5,212.64/7,813.50 = 1,923.68/x
  3. Step 3: Cross multiply
    5,212.64x = 7,813.50 × 1,923.68
  4. Step 4: Simplify right side
    5,212.64x = 15,030,673.68
  5. Step 5: Solve for x
    x = 15,030,673.68/5,212.64
  6. Step 6: Final answer
    x = 2,883.51

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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.