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Finding the Fourth Proportional to 5,777.57, 7,973.07 and 3,225.44

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Solution

The fourth proportional to 5,777.57, 7,973.07 and 3,225.44 is: 4,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.57 : 7,973.07 = 3,225.44 : x
  2. Step 2: Convert to fraction form
    5,777.57/7,973.07 = 3,225.44/x
  3. Step 3: Cross multiply
    5,777.57x = 7,973.07 × 3,225.44
  4. Step 4: Simplify right side
    5,777.57x = 25,716,619.04
  5. Step 5: Solve for x
    x = 25,716,619.04/5,777.57
  6. Step 6: Final answer
    x = 4,451.12

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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.