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Finding the Fourth Proportional to 5,182.48, 7,766.04 and 4,264.56

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Solution

The fourth proportional to 5,182.48, 7,766.04 and 4,264.56 is: 6,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.48 : 7,766.04 = 4,264.56 : x
  2. Step 2: Convert to fraction form
    5,182.48/7,766.04 = 4,264.56/x
  3. Step 3: Cross multiply
    5,182.48x = 7,766.04 × 4,264.56
  4. Step 4: Simplify right side
    5,182.48x = 33,118,743.54
  5. Step 5: Solve for x
    x = 33,118,743.54/5,182.48
  6. Step 6: Final answer
    x = 6,390.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.