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Finding the Fourth Proportional to 4,275.73, 6,414.06 and 1,776.64

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Solution

The fourth proportional to 4,275.73, 6,414.06 and 1,776.64 is: 2,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.73 : 6,414.06 = 1,776.64 : x
  2. Step 2: Convert to fraction form
    4,275.73/6,414.06 = 1,776.64/x
  3. Step 3: Cross multiply
    4,275.73x = 6,414.06 × 1,776.64
  4. Step 4: Simplify right side
    4,275.73x = 11,395,475.56
  5. Step 5: Solve for x
    x = 11,395,475.56/4,275.73
  6. Step 6: Final answer
    x = 2,665.16

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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.