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Finding the Fourth Proportional to 5,296.46, 7,309.22 and 3,058.46

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Solution

The fourth proportional to 5,296.46, 7,309.22 and 3,058.46 is: 4,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.46 : 7,309.22 = 3,058.46 : x
  2. Step 2: Convert to fraction form
    5,296.46/7,309.22 = 3,058.46/x
  3. Step 3: Cross multiply
    5,296.46x = 7,309.22 × 3,058.46
  4. Step 4: Simplify right side
    5,296.46x = 22,354,957.00
  5. Step 5: Solve for x
    x = 22,354,957.00/5,296.46
  6. Step 6: Final answer
    x = 4,220.74

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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.