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Finding the Fourth Proportional to 5,741.70, 7,922.90 and 3,223.47

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Solution

The fourth proportional to 5,741.70, 7,922.90 and 3,223.47 is: 4,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.70 : 7,922.90 = 3,223.47 : x
  2. Step 2: Convert to fraction form
    5,741.70/7,922.90 = 3,223.47/x
  3. Step 3: Cross multiply
    5,741.70x = 7,922.90 × 3,223.47
  4. Step 4: Simplify right side
    5,741.70x = 25,539,214.35
  5. Step 5: Solve for x
    x = 25,539,214.35/5,741.70
  6. Step 6: Final answer
    x = 4,448.02

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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.