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Finding the Fourth Proportional to 3,924.56, 5,415.80 and 2,156.04

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Solution

The fourth proportional to 3,924.56, 5,415.80 and 2,156.04 is: 2,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.56 : 5,415.80 = 2,156.04 : x
  2. Step 2: Convert to fraction form
    3,924.56/5,415.80 = 2,156.04/x
  3. Step 3: Cross multiply
    3,924.56x = 5,415.80 × 2,156.04
  4. Step 4: Simplify right side
    3,924.56x = 11,676,681.43
  5. Step 5: Solve for x
    x = 11,676,681.43/3,924.56
  6. Step 6: Final answer
    x = 2,975.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.