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Finding the Fourth Proportional to 3,379.89, 5,069.22 and 914.91

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Solution

The fourth proportional to 3,379.89, 5,069.22 and 914.91 is: 1,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.89 : 5,069.22 = 914.91 : x
  2. Step 2: Convert to fraction form
    3,379.89/5,069.22 = 914.91/x
  3. Step 3: Cross multiply
    3,379.89x = 5,069.22 × 914.91
  4. Step 4: Simplify right side
    3,379.89x = 4,637,875.50
  5. Step 5: Solve for x
    x = 4,637,875.50/3,379.89
  6. Step 6: Final answer
    x = 1,372.20

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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.