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Finding the Fourth Proportional to 5,806.13, 8,710.24 and 2,113.55

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Solution

The fourth proportional to 5,806.13, 8,710.24 and 2,113.55 is: 3,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.13 : 8,710.24 = 2,113.55 : x
  2. Step 2: Convert to fraction form
    5,806.13/8,710.24 = 2,113.55/x
  3. Step 3: Cross multiply
    5,806.13x = 8,710.24 × 2,113.55
  4. Step 4: Simplify right side
    5,806.13x = 18,409,484.20
  5. Step 5: Solve for x
    x = 18,409,484.20/5,806.13
  6. Step 6: Final answer
    x = 3,170.70

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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.