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Finding the Fourth Proportional to 3,924, 5,886.72 and 1,872

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Solution

The fourth proportional to 3,924, 5,886.72 and 1,872 is: 2,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,886.72 = 1,872 : x
  2. Step 2: Convert to fraction form
    3,924/5,886.72 = 1,872/x
  3. Step 3: Cross multiply
    3,924x = 5,886.72 × 1,872
  4. Step 4: Simplify right side
    3,924x = 11,019,939.84
  5. Step 5: Solve for x
    x = 11,019,939.84/3,924
  6. Step 6: Final answer
    x = 2,808.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.