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Finding the Fourth Proportional to 5,668.13, 8,502.67 and 1,564.13

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Solution

The fourth proportional to 5,668.13, 8,502.67 and 1,564.13 is: 2,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.13 : 8,502.67 = 1,564.13 : x
  2. Step 2: Convert to fraction form
    5,668.13/8,502.67 = 1,564.13/x
  3. Step 3: Cross multiply
    5,668.13x = 8,502.67 × 1,564.13
  4. Step 4: Simplify right side
    5,668.13x = 13,299,234.80
  5. Step 5: Solve for x
    x = 13,299,234.80/5,668.13
  6. Step 6: Final answer
    x = 2,346.32

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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.