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Finding the Fourth Proportional to 5,245, 7,237.92 and 2,887

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Solution

The fourth proportional to 5,245, 7,237.92 and 2,887 is: 3,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245 : 7,237.92 = 2,887 : x
  2. Step 2: Convert to fraction form
    5,245/7,237.92 = 2,887/x
  3. Step 3: Cross multiply
    5,245x = 7,237.92 × 2,887
  4. Step 4: Simplify right side
    5,245x = 20,895,875.04
  5. Step 5: Solve for x
    x = 20,895,875.04/5,245
  6. Step 6: Final answer
    x = 3,983.96

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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.