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Finding the Fourth Proportional to 5,617.62, 7,735.14 and 5,090.22

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Solution

The fourth proportional to 5,617.62, 7,735.14 and 5,090.22 is: 7,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.62 : 7,735.14 = 5,090.22 : x
  2. Step 2: Convert to fraction form
    5,617.62/7,735.14 = 5,090.22/x
  3. Step 3: Cross multiply
    5,617.62x = 7,735.14 × 5,090.22
  4. Step 4: Simplify right side
    5,617.62x = 39,373,564.33
  5. Step 5: Solve for x
    x = 39,373,564.33/5,617.62
  6. Step 6: Final answer
    x = 7,008.94

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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.