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Finding the Fourth Proportional to 5,668.02, 7,811.25 and 4,093.46

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Solution

The fourth proportional to 5,668.02, 7,811.25 and 4,093.46 is: 5,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.02 : 7,811.25 = 4,093.46 : x
  2. Step 2: Convert to fraction form
    5,668.02/7,811.25 = 4,093.46/x
  3. Step 3: Cross multiply
    5,668.02x = 7,811.25 × 4,093.46
  4. Step 4: Simplify right side
    5,668.02x = 31,975,039.43
  5. Step 5: Solve for x
    x = 31,975,039.43/5,668.02
  6. Step 6: Final answer
    x = 5,641.31

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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.