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Finding the Fourth Proportional to 5,756.06, 8,626.80 and 3,292.22

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Solution

The fourth proportional to 5,756.06, 8,626.80 and 3,292.22 is: 4,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.06 : 8,626.80 = 3,292.22 : x
  2. Step 2: Convert to fraction form
    5,756.06/8,626.80 = 3,292.22/x
  3. Step 3: Cross multiply
    5,756.06x = 8,626.80 × 3,292.22
  4. Step 4: Simplify right side
    5,756.06x = 28,401,323.50
  5. Step 5: Solve for x
    x = 28,401,323.50/5,756.06
  6. Step 6: Final answer
    x = 4,934.16

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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.