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Finding the Fourth Proportional to 4,112.86, 5,668.95 and 3,064.54

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Solution

The fourth proportional to 4,112.86, 5,668.95 and 3,064.54 is: 4,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.86 : 5,668.95 = 3,064.54 : x
  2. Step 2: Convert to fraction form
    4,112.86/5,668.95 = 3,064.54/x
  3. Step 3: Cross multiply
    4,112.86x = 5,668.95 × 3,064.54
  4. Step 4: Simplify right side
    4,112.86x = 17,372,724.03
  5. Step 5: Solve for x
    x = 17,372,724.03/4,112.86
  6. Step 6: Final answer
    x = 4,224.00

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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.