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Finding the Fourth Proportional to 4,872.59, 7,307.28 and 1,584.80

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Solution

The fourth proportional to 4,872.59, 7,307.28 and 1,584.80 is: 2,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.59 : 7,307.28 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    4,872.59/7,307.28 = 1,584.80/x
  3. Step 3: Cross multiply
    4,872.59x = 7,307.28 × 1,584.80
  4. Step 4: Simplify right side
    4,872.59x = 11,580,540.81
  5. Step 5: Solve for x
    x = 11,580,540.81/4,872.59
  6. Step 6: Final answer
    x = 2,376.67

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