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Finding the Fourth Proportional to 3,646.44, 5,456.30 and 2,412

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Solution

The fourth proportional to 3,646.44, 5,456.30 and 2,412 is: 3,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.44 : 5,456.30 = 2,412 : x
  2. Step 2: Convert to fraction form
    3,646.44/5,456.30 = 2,412/x
  3. Step 3: Cross multiply
    3,646.44x = 5,456.30 × 2,412
  4. Step 4: Simplify right side
    3,646.44x = 13,160,583.54
  5. Step 5: Solve for x
    x = 13,160,583.54/3,646.44
  6. Step 6: Final answer
    x = 3,609.16

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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.