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Finding the Fourth Proportional to 3,627.95, 5,442.77 and 1,162.58

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Solution

The fourth proportional to 3,627.95, 5,442.77 and 1,162.58 is: 1,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.95 : 5,442.77 = 1,162.58 : x
  2. Step 2: Convert to fraction form
    3,627.95/5,442.77 = 1,162.58/x
  3. Step 3: Cross multiply
    3,627.95x = 5,442.77 × 1,162.58
  4. Step 4: Simplify right side
    3,627.95x = 6,327,631.24
  5. Step 5: Solve for x
    x = 6,327,631.24/3,627.95
  6. Step 6: Final answer
    x = 1,744.14

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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.