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Finding the Fourth Proportional to 5,313.40, 7,332 and 2,922.96

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Solution

The fourth proportional to 5,313.40, 7,332 and 2,922.96 is: 4,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.40 : 7,332 = 2,922.96 : x
  2. Step 2: Convert to fraction form
    5,313.40/7,332 = 2,922.96/x
  3. Step 3: Cross multiply
    5,313.40x = 7,332 × 2,922.96
  4. Step 4: Simplify right side
    5,313.40x = 21,431,142.72
  5. Step 5: Solve for x
    x = 21,431,142.72/5,313.40
  6. Step 6: Final answer
    x = 4,033.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.