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Finding the Fourth Proportional to 5,182.55, 7,148.28 and 3,194.20

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Solution

The fourth proportional to 5,182.55, 7,148.28 and 3,194.20 is: 4,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.55 : 7,148.28 = 3,194.20 : x
  2. Step 2: Convert to fraction form
    5,182.55/7,148.28 = 3,194.20/x
  3. Step 3: Cross multiply
    5,182.55x = 7,148.28 × 3,194.20
  4. Step 4: Simplify right side
    5,182.55x = 22,833,000.23
  5. Step 5: Solve for x
    x = 22,833,000.23/5,182.55
  6. Step 6: Final answer
    x = 4,405.75

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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.