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Finding the Fourth Proportional to 5,270.60, 7,274.12 and 5,097.52

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Solution

The fourth proportional to 5,270.60, 7,274.12 and 5,097.52 is: 7,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.60 : 7,274.12 = 5,097.52 : x
  2. Step 2: Convert to fraction form
    5,270.60/7,274.12 = 5,097.52/x
  3. Step 3: Cross multiply
    5,270.60x = 7,274.12 × 5,097.52
  4. Step 4: Simplify right side
    5,270.60x = 37,079,972.18
  5. Step 5: Solve for x
    x = 37,079,972.18/5,270.60
  6. Step 6: Final answer
    x = 7,035.25

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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.