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Finding the Fourth Proportional to 5,502, 7,587.06 and 3,825.30

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Solution

The fourth proportional to 5,502, 7,587.06 and 3,825.30 is: 5,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502 : 7,587.06 = 3,825.30 : x
  2. Step 2: Convert to fraction form
    5,502/7,587.06 = 3,825.30/x
  3. Step 3: Cross multiply
    5,502x = 7,587.06 × 3,825.30
  4. Step 4: Simplify right side
    5,502x = 29,022,780.62
  5. Step 5: Solve for x
    x = 29,022,780.62/5,502
  6. Step 6: Final answer
    x = 5,274.95

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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.