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Finding the Fourth Proportional to 3,664.61, 5,489.61 and 2,362.13

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Solution

The fourth proportional to 3,664.61, 5,489.61 and 2,362.13 is: 3,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.61 : 5,489.61 = 2,362.13 : x
  2. Step 2: Convert to fraction form
    3,664.61/5,489.61 = 2,362.13/x
  3. Step 3: Cross multiply
    3,664.61x = 5,489.61 × 2,362.13
  4. Step 4: Simplify right side
    3,664.61x = 12,967,145.02
  5. Step 5: Solve for x
    x = 12,967,145.02/3,664.61
  6. Step 6: Final answer
    x = 3,538.48

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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.