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Finding the Fourth Proportional to 3,924.66, 5,416 and 2,156.26

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Solution

The fourth proportional to 3,924.66, 5,416 and 2,156.26 is: 2,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.66 : 5,416 = 2,156.26 : x
  2. Step 2: Convert to fraction form
    3,924.66/5,416 = 2,156.26/x
  3. Step 3: Cross multiply
    3,924.66x = 5,416 × 2,156.26
  4. Step 4: Simplify right side
    3,924.66x = 11,678,304.16
  5. Step 5: Solve for x
    x = 11,678,304.16/3,924.66
  6. Step 6: Final answer
    x = 2,975.62

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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.