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Finding the Fourth Proportional to 3,379.96, 5,070.18 and 914.80

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Solution

The fourth proportional to 3,379.96, 5,070.18 and 914.80 is: 1,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.96 : 5,070.18 = 914.80 : x
  2. Step 2: Convert to fraction form
    3,379.96/5,070.18 = 914.80/x
  3. Step 3: Cross multiply
    3,379.96x = 5,070.18 × 914.80
  4. Step 4: Simplify right side
    3,379.96x = 4,638,200.66
  5. Step 5: Solve for x
    x = 4,638,200.66/3,379.96
  6. Step 6: Final answer
    x = 1,372.26

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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.