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Finding the Fourth Proportional to 5,252.66, 7,880.82 and 2,333.02

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Solution

The fourth proportional to 5,252.66, 7,880.82 and 2,333.02 is: 3,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.66 : 7,880.82 = 2,333.02 : x
  2. Step 2: Convert to fraction form
    5,252.66/7,880.82 = 2,333.02/x
  3. Step 3: Cross multiply
    5,252.66x = 7,880.82 × 2,333.02
  4. Step 4: Simplify right side
    5,252.66x = 18,386,110.68
  5. Step 5: Solve for x
    x = 18,386,110.68/5,252.66
  6. Step 6: Final answer
    x = 3,500.34

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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.