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Finding the Fourth Proportional to 5,668.56, 8,502.72 and 1,564.56

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Solution

The fourth proportional to 5,668.56, 8,502.72 and 1,564.56 is: 2,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.56 : 8,502.72 = 1,564.56 : x
  2. Step 2: Convert to fraction form
    5,668.56/8,502.72 = 1,564.56/x
  3. Step 3: Cross multiply
    5,668.56x = 8,502.72 × 1,564.56
  4. Step 4: Simplify right side
    5,668.56x = 13,303,015.60
  5. Step 5: Solve for x
    x = 13,303,015.60/5,668.56
  6. Step 6: Final answer
    x = 2,346.81

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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.