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Finding the Fourth Proportional to 5,774.24, 7,968.60 and 3,536.07

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Solution

The fourth proportional to 5,774.24, 7,968.60 and 3,536.07 is: 4,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.24 : 7,968.60 = 3,536.07 : x
  2. Step 2: Convert to fraction form
    5,774.24/7,968.60 = 3,536.07/x
  3. Step 3: Cross multiply
    5,774.24x = 7,968.60 × 3,536.07
  4. Step 4: Simplify right side
    5,774.24x = 28,177,527.40
  5. Step 5: Solve for x
    x = 28,177,527.40/5,774.24
  6. Step 6: Final answer
    x = 4,879.87

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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.