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Finding the Fourth Proportional to 3,188.64, 4,394.34 and 3,131.94

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Solution

The fourth proportional to 3,188.64, 4,394.34 and 3,131.94 is: 4,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.64 : 4,394.34 = 3,131.94 : x
  2. Step 2: Convert to fraction form
    3,188.64/4,394.34 = 3,131.94/x
  3. Step 3: Cross multiply
    3,188.64x = 4,394.34 × 3,131.94
  4. Step 4: Simplify right side
    3,188.64x = 13,762,809.22
  5. Step 5: Solve for x
    x = 13,762,809.22/3,188.64
  6. Step 6: Final answer
    x = 4,316.20

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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.