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Finding the Fourth Proportional to 4,385.76, 6,578.64 and 1,785.84

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Solution

The fourth proportional to 4,385.76, 6,578.64 and 1,785.84 is: 2,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.76 : 6,578.64 = 1,785.84 : x
  2. Step 2: Convert to fraction form
    4,385.76/6,578.64 = 1,785.84/x
  3. Step 3: Cross multiply
    4,385.76x = 6,578.64 × 1,785.84
  4. Step 4: Simplify right side
    4,385.76x = 11,748,398.46
  5. Step 5: Solve for x
    x = 11,748,398.46/4,385.76
  6. Step 6: Final answer
    x = 2,678.76

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