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Finding the Fourth Proportional to 5,668.00, 8,502.08 and 1,970.31

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Solution

The fourth proportional to 5,668.00, 8,502.08 and 1,970.31 is: 2,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.00 : 8,502.08 = 1,970.31 : x
  2. Step 2: Convert to fraction form
    5,668.00/8,502.08 = 1,970.31/x
  3. Step 3: Cross multiply
    5,668.00x = 8,502.08 × 1,970.31
  4. Step 4: Simplify right side
    5,668.00x = 16,751,755.28
  5. Step 5: Solve for x
    x = 16,751,755.28/5,668.00
  6. Step 6: Final answer
    x = 2,955.50

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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.