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Finding the Fourth Proportional to 4,492.32, 6,200.19 and 3,378.84

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Solution

The fourth proportional to 4,492.32, 6,200.19 and 3,378.84 is: 4,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.32 : 6,200.19 = 3,378.84 : x
  2. Step 2: Convert to fraction form
    4,492.32/6,200.19 = 3,378.84/x
  3. Step 3: Cross multiply
    4,492.32x = 6,200.19 × 3,378.84
  4. Step 4: Simplify right side
    4,492.32x = 20,949,449.98
  5. Step 5: Solve for x
    x = 20,949,449.98/4,492.32
  6. Step 6: Final answer
    x = 4,663.39

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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.