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Finding the Fourth Proportional to 5,496.66, 7,583.49 and 3,630.42

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Solution

The fourth proportional to 5,496.66, 7,583.49 and 3,630.42 is: 5,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.66 : 7,583.49 = 3,630.42 : x
  2. Step 2: Convert to fraction form
    5,496.66/7,583.49 = 3,630.42/x
  3. Step 3: Cross multiply
    5,496.66x = 7,583.49 × 3,630.42
  4. Step 4: Simplify right side
    5,496.66x = 27,531,253.77
  5. Step 5: Solve for x
    x = 27,531,253.77/5,496.66
  6. Step 6: Final answer
    x = 5,008.72

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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.