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Finding the Fourth Proportional to 5,214.40, 7,821.52 and 1,704.53

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Solution

The fourth proportional to 5,214.40, 7,821.52 and 1,704.53 is: 2,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.40 : 7,821.52 = 1,704.53 : x
  2. Step 2: Convert to fraction form
    5,214.40/7,821.52 = 1,704.53/x
  3. Step 3: Cross multiply
    5,214.40x = 7,821.52 × 1,704.53
  4. Step 4: Simplify right side
    5,214.40x = 13,332,015.49
  5. Step 5: Solve for x
    x = 13,332,015.49/5,214.40
  6. Step 6: Final answer
    x = 2,556.77

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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.