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Finding the Fourth Proportional to 5,563.66, 8,346.86 and 1,668.06

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Solution

The fourth proportional to 5,563.66, 8,346.86 and 1,668.06 is: 2,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.66 : 8,346.86 = 1,668.06 : x
  2. Step 2: Convert to fraction form
    5,563.66/8,346.86 = 1,668.06/x
  3. Step 3: Cross multiply
    5,563.66x = 8,346.86 × 1,668.06
  4. Step 4: Simplify right side
    5,563.66x = 13,923,063.29
  5. Step 5: Solve for x
    x = 13,923,063.29/5,563.66
  6. Step 6: Final answer
    x = 2,502.50

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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.