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Finding the Fourth Proportional to 5,314, 7,335.24 and 3,662.80

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Solution

The fourth proportional to 5,314, 7,335.24 and 3,662.80 is: 5,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314 : 7,335.24 = 3,662.80 : x
  2. Step 2: Convert to fraction form
    5,314/7,335.24 = 3,662.80/x
  3. Step 3: Cross multiply
    5,314x = 7,335.24 × 3,662.80
  4. Step 4: Simplify right side
    5,314x = 26,867,517.07
  5. Step 5: Solve for x
    x = 26,867,517.07/5,314
  6. Step 6: Final answer
    x = 5,055.99

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Why These Related Problems?

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