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Finding the Fourth Proportional to 5,498.71, 7,588.17 and 3,108.64

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Solution

The fourth proportional to 5,498.71, 7,588.17 and 3,108.64 is: 4,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.71 : 7,588.17 = 3,108.64 : x
  2. Step 2: Convert to fraction form
    5,498.71/7,588.17 = 3,108.64/x
  3. Step 3: Cross multiply
    5,498.71x = 7,588.17 × 3,108.64
  4. Step 4: Simplify right side
    5,498.71x = 23,588,869.82
  5. Step 5: Solve for x
    x = 23,588,869.82/5,498.71
  6. Step 6: Final answer
    x = 4,289.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.