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Finding the Fourth Proportional to 5,762.57, 7,952.34 and 3,244.70

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Solution

The fourth proportional to 5,762.57, 7,952.34 and 3,244.70 is: 4,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.57 : 7,952.34 = 3,244.70 : x
  2. Step 2: Convert to fraction form
    5,762.57/7,952.34 = 3,244.70/x
  3. Step 3: Cross multiply
    5,762.57x = 7,952.34 × 3,244.70
  4. Step 4: Simplify right side
    5,762.57x = 25,802,917.84
  5. Step 5: Solve for x
    x = 25,802,917.84/5,762.57
  6. Step 6: Final answer
    x = 4,477.68

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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.