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Finding the Fourth Proportional to 5,090.13, 7,633.98 and 3,775.50

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Solution

The fourth proportional to 5,090.13, 7,633.98 and 3,775.50 is: 5,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.13 : 7,633.98 = 3,775.50 : x
  2. Step 2: Convert to fraction form
    5,090.13/7,633.98 = 3,775.50/x
  3. Step 3: Cross multiply
    5,090.13x = 7,633.98 × 3,775.50
  4. Step 4: Simplify right side
    5,090.13x = 28,822,091.49
  5. Step 5: Solve for x
    x = 28,822,091.49/5,090.13
  6. Step 6: Final answer
    x = 5,662.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.