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Finding the Fourth Proportional to 5,492.58, 8,219.70 and 4,493.88

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Solution

The fourth proportional to 5,492.58, 8,219.70 and 4,493.88 is: 6,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.58 : 8,219.70 = 4,493.88 : x
  2. Step 2: Convert to fraction form
    5,492.58/8,219.70 = 4,493.88/x
  3. Step 3: Cross multiply
    5,492.58x = 8,219.70 × 4,493.88
  4. Step 4: Simplify right side
    5,492.58x = 36,938,345.44
  5. Step 5: Solve for x
    x = 36,938,345.44/5,492.58
  6. Step 6: Final answer
    x = 6,725.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.