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Finding the Fourth Proportional to 3,470.86, 5,206.80 and 1,005.35

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Solution

The fourth proportional to 3,470.86, 5,206.80 and 1,005.35 is: 1,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.86 : 5,206.80 = 1,005.35 : x
  2. Step 2: Convert to fraction form
    3,470.86/5,206.80 = 1,005.35/x
  3. Step 3: Cross multiply
    3,470.86x = 5,206.80 × 1,005.35
  4. Step 4: Simplify right side
    3,470.86x = 5,234,656.38
  5. Step 5: Solve for x
    x = 5,234,656.38/3,470.86
  6. Step 6: Final answer
    x = 1,508.17

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