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Finding the Fourth Proportional to 3,856.34, 5,783.22 and 1,664.48

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Solution

The fourth proportional to 3,856.34, 5,783.22 and 1,664.48 is: 2,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.34 : 5,783.22 = 1,664.48 : x
  2. Step 2: Convert to fraction form
    3,856.34/5,783.22 = 1,664.48/x
  3. Step 3: Cross multiply
    3,856.34x = 5,783.22 × 1,664.48
  4. Step 4: Simplify right side
    3,856.34x = 9,626,054.03
  5. Step 5: Solve for x
    x = 9,626,054.03/3,856.34
  6. Step 6: Final answer
    x = 2,496.16

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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.