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Finding the Fourth Proportional to 5,893.19, 8,837.43 and 2,382.50

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Solution

The fourth proportional to 5,893.19, 8,837.43 and 2,382.50 is: 3,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.19 : 8,837.43 = 2,382.50 : x
  2. Step 2: Convert to fraction form
    5,893.19/8,837.43 = 2,382.50/x
  3. Step 3: Cross multiply
    5,893.19x = 8,837.43 × 2,382.50
  4. Step 4: Simplify right side
    5,893.19x = 21,055,132.79
  5. Step 5: Solve for x
    x = 21,055,132.79/5,893.19
  6. Step 6: Final answer
    x = 3,572.79

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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.