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Finding the Fourth Proportional to 3,887.50, 5,832.17 and 1,290.45

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Solution

The fourth proportional to 3,887.50, 5,832.17 and 1,290.45 is: 1,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.50 : 5,832.17 = 1,290.45 : x
  2. Step 2: Convert to fraction form
    3,887.50/5,832.17 = 1,290.45/x
  3. Step 3: Cross multiply
    3,887.50x = 5,832.17 × 1,290.45
  4. Step 4: Simplify right side
    3,887.50x = 7,526,088.16
  5. Step 5: Solve for x
    x = 7,526,088.16/3,887.50
  6. Step 6: Final answer
    x = 1,935.97

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Why These Related Problems?

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