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Finding the Fourth Proportional to 3,979.94, 5,492.38 and 2,211.44

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Solution

The fourth proportional to 3,979.94, 5,492.38 and 2,211.44 is: 3,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.94 : 5,492.38 = 2,211.44 : x
  2. Step 2: Convert to fraction form
    3,979.94/5,492.38 = 2,211.44/x
  3. Step 3: Cross multiply
    3,979.94x = 5,492.38 × 2,211.44
  4. Step 4: Simplify right side
    3,979.94x = 12,146,068.83
  5. Step 5: Solve for x
    x = 12,146,068.83/3,979.94
  6. Step 6: Final answer
    x = 3,051.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.