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Finding the Fourth Proportional to 5,097.62, 7,035 and 3,836.41

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Solution

The fourth proportional to 5,097.62, 7,035 and 3,836.41 is: 5,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.62 : 7,035 = 3,836.41 : x
  2. Step 2: Convert to fraction form
    5,097.62/7,035 = 3,836.41/x
  3. Step 3: Cross multiply
    5,097.62x = 7,035 × 3,836.41
  4. Step 4: Simplify right side
    5,097.62x = 26,989,144.35
  5. Step 5: Solve for x
    x = 26,989,144.35/5,097.62
  6. Step 6: Final answer
    x = 5,294.46

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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.