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Finding the Fourth Proportional to 5,944.07, 8,204.97 and 3,460.07

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Solution

The fourth proportional to 5,944.07, 8,204.97 and 3,460.07 is: 4,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.07 : 8,204.97 = 3,460.07 : x
  2. Step 2: Convert to fraction form
    5,944.07/8,204.97 = 3,460.07/x
  3. Step 3: Cross multiply
    5,944.07x = 8,204.97 × 3,460.07
  4. Step 4: Simplify right side
    5,944.07x = 28,389,712.22
  5. Step 5: Solve for x
    x = 28,389,712.22/5,944.07
  6. Step 6: Final answer
    x = 4,776.14

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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.