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Finding the Fourth Proportional to 4,871.60, 7,306.04 and 1,584.24

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Solution

The fourth proportional to 4,871.60, 7,306.04 and 1,584.24 is: 2,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.60 : 7,306.04 = 1,584.24 : x
  2. Step 2: Convert to fraction form
    4,871.60/7,306.04 = 1,584.24/x
  3. Step 3: Cross multiply
    4,871.60x = 7,306.04 × 1,584.24
  4. Step 4: Simplify right side
    4,871.60x = 11,574,520.81
  5. Step 5: Solve for x
    x = 11,574,520.81/4,871.60
  6. Step 6: Final answer
    x = 2,375.92

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