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Finding the Fourth Proportional to 5,492.70, 8,242.89 and 2,032.86

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Solution

The fourth proportional to 5,492.70, 8,242.89 and 2,032.86 is: 3,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.70 : 8,242.89 = 2,032.86 : x
  2. Step 2: Convert to fraction form
    5,492.70/8,242.89 = 2,032.86/x
  3. Step 3: Cross multiply
    5,492.70x = 8,242.89 × 2,032.86
  4. Step 4: Simplify right side
    5,492.70x = 16,756,641.37
  5. Step 5: Solve for x
    x = 16,756,641.37/5,492.70
  6. Step 6: Final answer
    x = 3,050.71

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