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Finding the Fourth Proportional to 5,749.40, 7,937.04 and 3,762.99

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Solution

The fourth proportional to 5,749.40, 7,937.04 and 3,762.99 is: 5,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.40 : 7,937.04 = 3,762.99 : x
  2. Step 2: Convert to fraction form
    5,749.40/7,937.04 = 3,762.99/x
  3. Step 3: Cross multiply
    5,749.40x = 7,937.04 × 3,762.99
  4. Step 4: Simplify right side
    5,749.40x = 29,866,995.09
  5. Step 5: Solve for x
    x = 29,866,995.09/5,749.40
  6. Step 6: Final answer
    x = 5,194.80

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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.