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Finding the Fourth Proportional to 5,530, 7,637.88 and 3,663.76

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Solution

The fourth proportional to 5,530, 7,637.88 and 3,663.76 is: 5,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530 : 7,637.88 = 3,663.76 : x
  2. Step 2: Convert to fraction form
    5,530/7,637.88 = 3,663.76/x
  3. Step 3: Cross multiply
    5,530x = 7,637.88 × 3,663.76
  4. Step 4: Simplify right side
    5,530x = 27,983,359.23
  5. Step 5: Solve for x
    x = 27,983,359.23/5,530
  6. Step 6: Final answer
    x = 5,060.28

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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.