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Finding the Fourth Proportional to 4,286.76, 5,918.40 and 3,290.10

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Solution

The fourth proportional to 4,286.76, 5,918.40 and 3,290.10 is: 4,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.76 : 5,918.40 = 3,290.10 : x
  2. Step 2: Convert to fraction form
    4,286.76/5,918.40 = 3,290.10/x
  3. Step 3: Cross multiply
    4,286.76x = 5,918.40 × 3,290.10
  4. Step 4: Simplify right side
    4,286.76x = 19,472,127.84
  5. Step 5: Solve for x
    x = 19,472,127.84/4,286.76
  6. Step 6: Final answer
    x = 4,542.39

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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.