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Finding the Fourth Proportional to 5,090.90, 7,636.50 and 2,421.90

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Solution

The fourth proportional to 5,090.90, 7,636.50 and 2,421.90 is: 3,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.90 : 7,636.50 = 2,421.90 : x
  2. Step 2: Convert to fraction form
    5,090.90/7,636.50 = 2,421.90/x
  3. Step 3: Cross multiply
    5,090.90x = 7,636.50 × 2,421.90
  4. Step 4: Simplify right side
    5,090.90x = 18,494,839.35
  5. Step 5: Solve for x
    x = 18,494,839.35/5,090.90
  6. Step 6: Final answer
    x = 3,632.92

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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.