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Finding the Fourth Proportional to 5,151.84, 7,720.56 and 2,552.16

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Solution

The fourth proportional to 5,151.84, 7,720.56 and 2,552.16 is: 3,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.84 : 7,720.56 = 2,552.16 : x
  2. Step 2: Convert to fraction form
    5,151.84/7,720.56 = 2,552.16/x
  3. Step 3: Cross multiply
    5,151.84x = 7,720.56 × 2,552.16
  4. Step 4: Simplify right side
    5,151.84x = 19,704,104.41
  5. Step 5: Solve for x
    x = 19,704,104.41/5,151.84
  6. Step 6: Final answer
    x = 3,824.67

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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.