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Finding the Fourth Proportional to 3,492.32, 4,789.87 and 3,098.66

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Solution

The fourth proportional to 3,492.32, 4,789.87 and 3,098.66 is: 4,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.32 : 4,789.87 = 3,098.66 : x
  2. Step 2: Convert to fraction form
    3,492.32/4,789.87 = 3,098.66/x
  3. Step 3: Cross multiply
    3,492.32x = 4,789.87 × 3,098.66
  4. Step 4: Simplify right side
    3,492.32x = 14,842,146.88
  5. Step 5: Solve for x
    x = 14,842,146.88/3,492.32
  6. Step 6: Final answer
    x = 4,249.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.