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Finding the Fourth Proportional to 5,442.08, 8,164.11 and 1,745.24

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Solution

The fourth proportional to 5,442.08, 8,164.11 and 1,745.24 is: 2,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.08 : 8,164.11 = 1,745.24 : x
  2. Step 2: Convert to fraction form
    5,442.08/8,164.11 = 1,745.24/x
  3. Step 3: Cross multiply
    5,442.08x = 8,164.11 × 1,745.24
  4. Step 4: Simplify right side
    5,442.08x = 14,248,290.52
  5. Step 5: Solve for x
    x = 14,248,290.52/5,442.08
  6. Step 6: Final answer
    x = 2,618.17

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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.