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Finding the Fourth Proportional to 3,924.55, 5,416.02 and 2,156.32

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Solution

The fourth proportional to 3,924.55, 5,416.02 and 2,156.32 is: 2,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.55 : 5,416.02 = 2,156.32 : x
  2. Step 2: Convert to fraction form
    3,924.55/5,416.02 = 2,156.32/x
  3. Step 3: Cross multiply
    3,924.55x = 5,416.02 × 2,156.32
  4. Step 4: Simplify right side
    3,924.55x = 11,678,672.25
  5. Step 5: Solve for x
    x = 11,678,672.25/3,924.55
  6. Step 6: Final answer
    x = 2,975.80

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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.