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Finding the Fourth Proportional to 5,269.08, 7,270.38 and 3,405

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Solution

The fourth proportional to 5,269.08, 7,270.38 and 3,405 is: 4,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.08 : 7,270.38 = 3,405 : x
  2. Step 2: Convert to fraction form
    5,269.08/7,270.38 = 3,405/x
  3. Step 3: Cross multiply
    5,269.08x = 7,270.38 × 3,405
  4. Step 4: Simplify right side
    5,269.08x = 24,755,643.90
  5. Step 5: Solve for x
    x = 24,755,643.90/5,269.08
  6. Step 6: Final answer
    x = 4,698.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.