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Finding the Fourth Proportional to 5,332, 7,361.94 and 4,335.70

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Solution

The fourth proportional to 5,332, 7,361.94 and 4,335.70 is: 5,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332 : 7,361.94 = 4,335.70 : x
  2. Step 2: Convert to fraction form
    5,332/7,361.94 = 4,335.70/x
  3. Step 3: Cross multiply
    5,332x = 7,361.94 × 4,335.70
  4. Step 4: Simplify right side
    5,332x = 31,919,163.26
  5. Step 5: Solve for x
    x = 31,919,163.26/5,332
  6. Step 6: Final answer
    x = 5,986.34

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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.