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Finding the Fourth Proportional to 4,880.16, 7,334.82 and 4,296.96

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Solution

The fourth proportional to 4,880.16, 7,334.82 and 4,296.96 is: 6,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.16 : 7,334.82 = 4,296.96 : x
  2. Step 2: Convert to fraction form
    4,880.16/7,334.82 = 4,296.96/x
  3. Step 3: Cross multiply
    4,880.16x = 7,334.82 × 4,296.96
  4. Step 4: Simplify right side
    4,880.16x = 31,517,428.15
  5. Step 5: Solve for x
    x = 31,517,428.15/4,880.16
  6. Step 6: Final answer
    x = 6,458.28

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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.