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Finding the Fourth Proportional to 4,705.70, 7,056.05 and 1,584.66

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Solution

The fourth proportional to 4,705.70, 7,056.05 and 1,584.66 is: 2,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.70 : 7,056.05 = 1,584.66 : x
  2. Step 2: Convert to fraction form
    4,705.70/7,056.05 = 1,584.66/x
  3. Step 3: Cross multiply
    4,705.70x = 7,056.05 × 1,584.66
  4. Step 4: Simplify right side
    4,705.70x = 11,181,432.27
  5. Step 5: Solve for x
    x = 11,181,432.27/4,705.70
  6. Step 6: Final answer
    x = 2,376.15

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