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Finding the Fourth Proportional to 4,492.32, 6,739.54 and 1,414.32

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Solution

The fourth proportional to 4,492.32, 6,739.54 and 1,414.32 is: 2,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.32 : 6,739.54 = 1,414.32 : x
  2. Step 2: Convert to fraction form
    4,492.32/6,739.54 = 1,414.32/x
  3. Step 3: Cross multiply
    4,492.32x = 6,739.54 × 1,414.32
  4. Step 4: Simplify right side
    4,492.32x = 9,531,866.21
  5. Step 5: Solve for x
    x = 9,531,866.21/4,492.32
  6. Step 6: Final answer
    x = 2,121.81

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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.