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Finding the Fourth Proportional to 4,584.64, 6,871.20 and 2,272

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Solution

The fourth proportional to 4,584.64, 6,871.20 and 2,272 is: 3,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.64 : 6,871.20 = 2,272 : x
  2. Step 2: Convert to fraction form
    4,584.64/6,871.20 = 2,272/x
  3. Step 3: Cross multiply
    4,584.64x = 6,871.20 × 2,272
  4. Step 4: Simplify right side
    4,584.64x = 15,611,366.40
  5. Step 5: Solve for x
    x = 15,611,366.40/4,584.64
  6. Step 6: Final answer
    x = 3,405.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.