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Finding the Fourth Proportional to 5,072.28, 6,999.54 and 3,184.86

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Solution

The fourth proportional to 5,072.28, 6,999.54 and 3,184.86 is: 4,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.28 : 6,999.54 = 3,184.86 : x
  2. Step 2: Convert to fraction form
    5,072.28/6,999.54 = 3,184.86/x
  3. Step 3: Cross multiply
    5,072.28x = 6,999.54 × 3,184.86
  4. Step 4: Simplify right side
    5,072.28x = 22,292,554.96
  5. Step 5: Solve for x
    x = 22,292,554.96/5,072.28
  6. Step 6: Final answer
    x = 4,394.98

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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.