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Finding the Fourth Proportional to 5,109.34, 7,663.98 and 2,887.17

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Solution

The fourth proportional to 5,109.34, 7,663.98 and 2,887.17 is: 4,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.34 : 7,663.98 = 2,887.17 : x
  2. Step 2: Convert to fraction form
    5,109.34/7,663.98 = 2,887.17/x
  3. Step 3: Cross multiply
    5,109.34x = 7,663.98 × 2,887.17
  4. Step 4: Simplify right side
    5,109.34x = 22,127,174.82
  5. Step 5: Solve for x
    x = 22,127,174.82/5,109.34
  6. Step 6: Final answer
    x = 4,330.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.