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Finding the Fourth Proportional to 5,216.27, 7,824.42 and 1,320.67

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Solution

The fourth proportional to 5,216.27, 7,824.42 and 1,320.67 is: 1,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.27 : 7,824.42 = 1,320.67 : x
  2. Step 2: Convert to fraction form
    5,216.27/7,824.42 = 1,320.67/x
  3. Step 3: Cross multiply
    5,216.27x = 7,824.42 × 1,320.67
  4. Step 4: Simplify right side
    5,216.27x = 10,333,476.76
  5. Step 5: Solve for x
    x = 10,333,476.76/5,216.27
  6. Step 6: Final answer
    x = 1,981.01

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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.