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Finding the Fourth Proportional to 5,709.68, 8,564.66 and 1,814.12

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Solution

The fourth proportional to 5,709.68, 8,564.66 and 1,814.12 is: 2,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.68 : 8,564.66 = 1,814.12 : x
  2. Step 2: Convert to fraction form
    5,709.68/8,564.66 = 1,814.12/x
  3. Step 3: Cross multiply
    5,709.68x = 8,564.66 × 1,814.12
  4. Step 4: Simplify right side
    5,709.68x = 15,537,321.00
  5. Step 5: Solve for x
    x = 15,537,321.00/5,709.68
  6. Step 6: Final answer
    x = 2,721.22

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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.