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Finding the Fourth Proportional to 5,756.68, 8,636.22 and 2,470.12

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Solution

The fourth proportional to 5,756.68, 8,636.22 and 2,470.12 is: 3,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.68 : 8,636.22 = 2,470.12 : x
  2. Step 2: Convert to fraction form
    5,756.68/8,636.22 = 2,470.12/x
  3. Step 3: Cross multiply
    5,756.68x = 8,636.22 × 2,470.12
  4. Step 4: Simplify right side
    5,756.68x = 21,332,499.75
  5. Step 5: Solve for x
    x = 21,332,499.75/5,756.68
  6. Step 6: Final answer
    x = 3,705.69

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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.