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Finding the Fourth Proportional to 3,783.08, 5,674.62 and 1,009.76

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Solution

The fourth proportional to 3,783.08, 5,674.62 and 1,009.76 is: 1,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.08 : 5,674.62 = 1,009.76 : x
  2. Step 2: Convert to fraction form
    3,783.08/5,674.62 = 1,009.76/x
  3. Step 3: Cross multiply
    3,783.08x = 5,674.62 × 1,009.76
  4. Step 4: Simplify right side
    3,783.08x = 5,730,026.83
  5. Step 5: Solve for x
    x = 5,730,026.83/3,783.08
  6. Step 6: Final answer
    x = 1,514.64

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