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Finding the Fourth Proportional to 5,713.62, 8,566.86 and 3,210.72

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Solution

The fourth proportional to 5,713.62, 8,566.86 and 3,210.72 is: 4,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.62 : 8,566.86 = 3,210.72 : x
  2. Step 2: Convert to fraction form
    5,713.62/8,566.86 = 3,210.72/x
  3. Step 3: Cross multiply
    5,713.62x = 8,566.86 × 3,210.72
  4. Step 4: Simplify right side
    5,713.62x = 27,505,788.74
  5. Step 5: Solve for x
    x = 27,505,788.74/5,713.62
  6. Step 6: Final answer
    x = 4,814.07

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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.