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Finding the Fourth Proportional to 3,392.66, 5,089.66 and 1,638.88

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Solution

The fourth proportional to 3,392.66, 5,089.66 and 1,638.88 is: 2,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.66 : 5,089.66 = 1,638.88 : x
  2. Step 2: Convert to fraction form
    3,392.66/5,089.66 = 1,638.88/x
  3. Step 3: Cross multiply
    3,392.66x = 5,089.66 × 1,638.88
  4. Step 4: Simplify right side
    3,392.66x = 8,341,358.40
  5. Step 5: Solve for x
    x = 8,341,358.40/3,392.66
  6. Step 6: Final answer
    x = 2,458.65

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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.