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Finding the Fourth Proportional to 3,886.08, 5,832 and 2,156.16

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Solution

The fourth proportional to 3,886.08, 5,832 and 2,156.16 is: 3,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.08 : 5,832 = 2,156.16 : x
  2. Step 2: Convert to fraction form
    3,886.08/5,832 = 2,156.16/x
  3. Step 3: Cross multiply
    3,886.08x = 5,832 × 2,156.16
  4. Step 4: Simplify right side
    3,886.08x = 12,574,725.12
  5. Step 5: Solve for x
    x = 12,574,725.12/3,886.08
  6. Step 6: Final answer
    x = 3,235.84

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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.