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Finding the Fourth Proportional to 4,552.96, 6,830.22 and 2,087.99

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Solution

The fourth proportional to 4,552.96, 6,830.22 and 2,087.99 is: 3,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.96 : 6,830.22 = 2,087.99 : x
  2. Step 2: Convert to fraction form
    4,552.96/6,830.22 = 2,087.99/x
  3. Step 3: Cross multiply
    4,552.96x = 6,830.22 × 2,087.99
  4. Step 4: Simplify right side
    4,552.96x = 14,261,431.06
  5. Step 5: Solve for x
    x = 14,261,431.06/4,552.96
  6. Step 6: Final answer
    x = 3,132.34

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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.