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Finding the Fourth Proportional to 5,774.77, 7,971.23 and 3,416.91

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Solution

The fourth proportional to 5,774.77, 7,971.23 and 3,416.91 is: 4,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.77 : 7,971.23 = 3,416.91 : x
  2. Step 2: Convert to fraction form
    5,774.77/7,971.23 = 3,416.91/x
  3. Step 3: Cross multiply
    5,774.77x = 7,971.23 × 3,416.91
  4. Step 4: Simplify right side
    5,774.77x = 27,236,954.15
  5. Step 5: Solve for x
    x = 27,236,954.15/5,774.77
  6. Step 6: Final answer
    x = 4,716.54

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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.