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Finding the Fourth Proportional to 5,699.82, 7,863.63 and 3,460.92

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Solution

The fourth proportional to 5,699.82, 7,863.63 and 3,460.92 is: 4,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.82 : 7,863.63 = 3,460.92 : x
  2. Step 2: Convert to fraction form
    5,699.82/7,863.63 = 3,460.92/x
  3. Step 3: Cross multiply
    5,699.82x = 7,863.63 × 3,460.92
  4. Step 4: Simplify right side
    5,699.82x = 27,215,394.34
  5. Step 5: Solve for x
    x = 27,215,394.34/5,699.82
  6. Step 6: Final answer
    x = 4,774.78

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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.