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Finding the Fourth Proportional to 6,172.76, 9,258.54 and 3,398.52

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Solution

The fourth proportional to 6,172.76, 9,258.54 and 3,398.52 is: 5,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.76 : 9,258.54 = 3,398.52 : x
  2. Step 2: Convert to fraction form
    6,172.76/9,258.54 = 3,398.52/x
  3. Step 3: Cross multiply
    6,172.76x = 9,258.54 × 3,398.52
  4. Step 4: Simplify right side
    6,172.76x = 31,465,333.36
  5. Step 5: Solve for x
    x = 31,465,333.36/6,172.76
  6. Step 6: Final answer
    x = 5,097.45

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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.