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Finding the Fourth Proportional to 4,551.46, 6,825.72 and 1,777.46

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Solution

The fourth proportional to 4,551.46, 6,825.72 and 1,777.46 is: 2,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.46 : 6,825.72 = 1,777.46 : x
  2. Step 2: Convert to fraction form
    4,551.46/6,825.72 = 1,777.46/x
  3. Step 3: Cross multiply
    4,551.46x = 6,825.72 × 1,777.46
  4. Step 4: Simplify right side
    4,551.46x = 12,132,444.27
  5. Step 5: Solve for x
    x = 12,132,444.27/4,551.46
  6. Step 6: Final answer
    x = 2,665.62

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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.