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Finding the Fourth Proportional to 3,954.16, 5,931.60 and 2,005.84

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Solution

The fourth proportional to 3,954.16, 5,931.60 and 2,005.84 is: 3,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.16 : 5,931.60 = 2,005.84 : x
  2. Step 2: Convert to fraction form
    3,954.16/5,931.60 = 2,005.84/x
  3. Step 3: Cross multiply
    3,954.16x = 5,931.60 × 2,005.84
  4. Step 4: Simplify right side
    3,954.16x = 11,897,840.54
  5. Step 5: Solve for x
    x = 11,897,840.54/3,954.16
  6. Step 6: Final answer
    x = 3,008.94

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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.