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Finding the Fourth Proportional to 4,392.20, 6,584.06 and 1,468.88

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Solution

The fourth proportional to 4,392.20, 6,584.06 and 1,468.88 is: 2,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.20 : 6,584.06 = 1,468.88 : x
  2. Step 2: Convert to fraction form
    4,392.20/6,584.06 = 1,468.88/x
  3. Step 3: Cross multiply
    4,392.20x = 6,584.06 × 1,468.88
  4. Step 4: Simplify right side
    4,392.20x = 9,671,194.05
  5. Step 5: Solve for x
    x = 9,671,194.05/4,392.20
  6. Step 6: Final answer
    x = 2,201.90

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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.