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Finding the Fourth Proportional to 3,924.64, 5,416.10 and 2,156.29

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Solution

The fourth proportional to 3,924.64, 5,416.10 and 2,156.29 is: 2,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.64 : 5,416.10 = 2,156.29 : x
  2. Step 2: Convert to fraction form
    3,924.64/5,416.10 = 2,156.29/x
  3. Step 3: Cross multiply
    3,924.64x = 5,416.10 × 2,156.29
  4. Step 4: Simplify right side
    3,924.64x = 11,678,687.66
  5. Step 5: Solve for x
    x = 11,678,687.66/3,924.64
  6. Step 6: Final answer
    x = 2,975.74

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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.