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Finding the Fourth Proportional to 5,668.09, 7,822.49 and 3,430.52

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Solution

The fourth proportional to 5,668.09, 7,822.49 and 3,430.52 is: 4,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.09 : 7,822.49 = 3,430.52 : x
  2. Step 2: Convert to fraction form
    5,668.09/7,822.49 = 3,430.52/x
  3. Step 3: Cross multiply
    5,668.09x = 7,822.49 × 3,430.52
  4. Step 4: Simplify right side
    5,668.09x = 26,835,208.39
  5. Step 5: Solve for x
    x = 26,835,208.39/5,668.09
  6. Step 6: Final answer
    x = 4,734.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.