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Finding the Fourth Proportional to 5,806.96, 8,709.40 and 1,702

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Solution

The fourth proportional to 5,806.96, 8,709.40 and 1,702 is: 2,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.96 : 8,709.40 = 1,702 : x
  2. Step 2: Convert to fraction form
    5,806.96/8,709.40 = 1,702/x
  3. Step 3: Cross multiply
    5,806.96x = 8,709.40 × 1,702
  4. Step 4: Simplify right side
    5,806.96x = 14,823,398.80
  5. Step 5: Solve for x
    x = 14,823,398.80/5,806.96
  6. Step 6: Final answer
    x = 2,552.70

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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.