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Finding the Fourth Proportional to 5,265, 7,271.88 and 3,493.53

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Solution

The fourth proportional to 5,265, 7,271.88 and 3,493.53 is: 4,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265 : 7,271.88 = 3,493.53 : x
  2. Step 2: Convert to fraction form
    5,265/7,271.88 = 3,493.53/x
  3. Step 3: Cross multiply
    5,265x = 7,271.88 × 3,493.53
  4. Step 4: Simplify right side
    5,265x = 25,404,517.84
  5. Step 5: Solve for x
    x = 25,404,517.84/5,265
  6. Step 6: Final answer
    x = 4,825.17

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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.