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Finding the Fourth Proportional to 5,492.76, 8,237.44 and 1,982.32

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Solution

The fourth proportional to 5,492.76, 8,237.44 and 1,982.32 is: 2,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.76 : 8,237.44 = 1,982.32 : x
  2. Step 2: Convert to fraction form
    5,492.76/8,237.44 = 1,982.32/x
  3. Step 3: Cross multiply
    5,492.76x = 8,237.44 × 1,982.32
  4. Step 4: Simplify right side
    5,492.76x = 16,329,190.96
  5. Step 5: Solve for x
    x = 16,329,190.96/5,492.76
  6. Step 6: Final answer
    x = 2,972.86

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1.5x scale

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.