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Finding the Fourth Proportional to 3,924.71, 5,416.16 and 2,156.48

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Solution

The fourth proportional to 3,924.71, 5,416.16 and 2,156.48 is: 2,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.71 : 5,416.16 = 2,156.48 : x
  2. Step 2: Convert to fraction form
    3,924.71/5,416.16 = 2,156.48/x
  3. Step 3: Cross multiply
    3,924.71x = 5,416.16 × 2,156.48
  4. Step 4: Simplify right side
    3,924.71x = 11,679,840.72
  5. Step 5: Solve for x
    x = 11,679,840.72/3,924.71
  6. Step 6: Final answer
    x = 2,975.98

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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.