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Finding the Fourth Proportional to 5,427.03, 7,486.92 and 4,165.86

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Solution

The fourth proportional to 5,427.03, 7,486.92 and 4,165.86 is: 5,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.03 : 7,486.92 = 4,165.86 : x
  2. Step 2: Convert to fraction form
    5,427.03/7,486.92 = 4,165.86/x
  3. Step 3: Cross multiply
    5,427.03x = 7,486.92 × 4,165.86
  4. Step 4: Simplify right side
    5,427.03x = 31,189,460.55
  5. Step 5: Solve for x
    x = 31,189,460.55/5,427.03
  6. Step 6: Final answer
    x = 5,747.06

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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.