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Finding the Fourth Proportional to 3,424.76, 4,717.97 and 3,258

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Solution

The fourth proportional to 3,424.76, 4,717.97 and 3,258 is: 4,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.76 : 4,717.97 = 3,258 : x
  2. Step 2: Convert to fraction form
    3,424.76/4,717.97 = 3,258/x
  3. Step 3: Cross multiply
    3,424.76x = 4,717.97 × 3,258
  4. Step 4: Simplify right side
    3,424.76x = 15,371,146.26
  5. Step 5: Solve for x
    x = 15,371,146.26/3,424.76
  6. Step 6: Final answer
    x = 4,488.24

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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.