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Finding the Fourth Proportional to 4,872.60, 7,307.34 and 1,584.90

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Solution

The fourth proportional to 4,872.60, 7,307.34 and 1,584.90 is: 2,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.60 : 7,307.34 = 1,584.90 : x
  2. Step 2: Convert to fraction form
    4,872.60/7,307.34 = 1,584.90/x
  3. Step 3: Cross multiply
    4,872.60x = 7,307.34 × 1,584.90
  4. Step 4: Simplify right side
    4,872.60x = 11,581,403.17
  5. Step 5: Solve for x
    x = 11,581,403.17/4,872.60
  6. Step 6: Final answer
    x = 2,376.84

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