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Finding the Fourth Proportional to 4,182.88, 6,275.20 and 1,585.76

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Solution

The fourth proportional to 4,182.88, 6,275.20 and 1,585.76 is: 2,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.88 : 6,275.20 = 1,585.76 : x
  2. Step 2: Convert to fraction form
    4,182.88/6,275.20 = 1,585.76/x
  3. Step 3: Cross multiply
    4,182.88x = 6,275.20 × 1,585.76
  4. Step 4: Simplify right side
    4,182.88x = 9,950,961.15
  5. Step 5: Solve for x
    x = 9,950,961.15/4,182.88
  6. Step 6: Final answer
    x = 2,378.97

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