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Finding the Fourth Proportional to 4,464.72, 6,697.11 and 1,831.55

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Solution

The fourth proportional to 4,464.72, 6,697.11 and 1,831.55 is: 2,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.72 : 6,697.11 = 1,831.55 : x
  2. Step 2: Convert to fraction form
    4,464.72/6,697.11 = 1,831.55/x
  3. Step 3: Cross multiply
    4,464.72x = 6,697.11 × 1,831.55
  4. Step 4: Simplify right side
    4,464.72x = 12,266,065.20
  5. Step 5: Solve for x
    x = 12,266,065.20/4,464.72
  6. Step 6: Final answer
    x = 2,747.33

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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.