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Finding the Fourth Proportional to 5,090.70, 7,636.05 and 1,392.97

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Solution

The fourth proportional to 5,090.70, 7,636.05 and 1,392.97 is: 2,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.70 : 7,636.05 = 1,392.97 : x
  2. Step 2: Convert to fraction form
    5,090.70/7,636.05 = 1,392.97/x
  3. Step 3: Cross multiply
    5,090.70x = 7,636.05 × 1,392.97
  4. Step 4: Simplify right side
    5,090.70x = 10,636,801.35
  5. Step 5: Solve for x
    x = 10,636,801.35/5,090.70
  6. Step 6: Final answer
    x = 2,089.46

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