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Finding the Fourth Proportional to 5,666.66, 8,498.32 and 1,968.20

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Solution

The fourth proportional to 5,666.66, 8,498.32 and 1,968.20 is: 2,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.66 : 8,498.32 = 1,968.20 : x
  2. Step 2: Convert to fraction form
    5,666.66/8,498.32 = 1,968.20/x
  3. Step 3: Cross multiply
    5,666.66x = 8,498.32 × 1,968.20
  4. Step 4: Simplify right side
    5,666.66x = 16,726,377.88
  5. Step 5: Solve for x
    x = 16,726,377.88/5,666.66
  6. Step 6: Final answer
    x = 2,951.72

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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.