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Finding the Fourth Proportional to 3,785.63, 5,678.96 and 1,320.08

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Solution

The fourth proportional to 3,785.63, 5,678.96 and 1,320.08 is: 1,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.63 : 5,678.96 = 1,320.08 : x
  2. Step 2: Convert to fraction form
    3,785.63/5,678.96 = 1,320.08/x
  3. Step 3: Cross multiply
    3,785.63x = 5,678.96 × 1,320.08
  4. Step 4: Simplify right side
    3,785.63x = 7,496,646.52
  5. Step 5: Solve for x
    x = 7,496,646.52/3,785.63
  6. Step 6: Final answer
    x = 1,980.29

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