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Finding the Fourth Proportional to 3,503.17, 5,245.48 and 2,114.65

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Solution

The fourth proportional to 3,503.17, 5,245.48 and 2,114.65 is: 3,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.17 : 5,245.48 = 2,114.65 : x
  2. Step 2: Convert to fraction form
    3,503.17/5,245.48 = 2,114.65/x
  3. Step 3: Cross multiply
    3,503.17x = 5,245.48 × 2,114.65
  4. Step 4: Simplify right side
    3,503.17x = 11,092,354.28
  5. Step 5: Solve for x
    x = 11,092,354.28/3,503.17
  6. Step 6: Final answer
    x = 3,166.38

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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.