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Finding the Fourth Proportional to 5,296.57, 7,310.21 and 3,058.13

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Solution

The fourth proportional to 5,296.57, 7,310.21 and 3,058.13 is: 4,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.57 : 7,310.21 = 3,058.13 : x
  2. Step 2: Convert to fraction form
    5,296.57/7,310.21 = 3,058.13/x
  3. Step 3: Cross multiply
    5,296.57x = 7,310.21 × 3,058.13
  4. Step 4: Simplify right side
    5,296.57x = 22,355,575.49
  5. Step 5: Solve for x
    x = 22,355,575.49/5,296.57
  6. Step 6: Final answer
    x = 4,220.77

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1.5x scale

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.