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Finding the Fourth Proportional to 5,863.19, 8,091.15 and 3,210.44

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Solution

The fourth proportional to 5,863.19, 8,091.15 and 3,210.44 is: 4,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.19 : 8,091.15 = 3,210.44 : x
  2. Step 2: Convert to fraction form
    5,863.19/8,091.15 = 3,210.44/x
  3. Step 3: Cross multiply
    5,863.19x = 8,091.15 × 3,210.44
  4. Step 4: Simplify right side
    5,863.19x = 25,976,159.79
  5. Step 5: Solve for x
    x = 25,976,159.79/5,863.19
  6. Step 6: Final answer
    x = 4,430.38

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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.