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Finding the Fourth Proportional to 5,442.53, 8,164.51 and 1,743.53

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Solution

The fourth proportional to 5,442.53, 8,164.51 and 1,743.53 is: 2,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.53 : 8,164.51 = 1,743.53 : x
  2. Step 2: Convert to fraction form
    5,442.53/8,164.51 = 1,743.53/x
  3. Step 3: Cross multiply
    5,442.53x = 8,164.51 × 1,743.53
  4. Step 4: Simplify right side
    5,442.53x = 14,235,022.94
  5. Step 5: Solve for x
    x = 14,235,022.94/5,442.53
  6. Step 6: Final answer
    x = 2,615.52

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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.