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Finding the Fourth Proportional to 5,806.14, 8,707.05 and 1,909.50

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Solution

The fourth proportional to 5,806.14, 8,707.05 and 1,909.50 is: 2,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.14 : 8,707.05 = 1,909.50 : x
  2. Step 2: Convert to fraction form
    5,806.14/8,707.05 = 1,909.50/x
  3. Step 3: Cross multiply
    5,806.14x = 8,707.05 × 1,909.50
  4. Step 4: Simplify right side
    5,806.14x = 16,626,111.98
  5. Step 5: Solve for x
    x = 16,626,111.98/5,806.14
  6. Step 6: Final answer
    x = 2,863.54

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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.