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Finding the Fourth Proportional to 3,924.66, 5,416.17 and 2,156.40

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Solution

The fourth proportional to 3,924.66, 5,416.17 and 2,156.40 is: 2,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.66 : 5,416.17 = 2,156.40 : x
  2. Step 2: Convert to fraction form
    3,924.66/5,416.17 = 2,156.40/x
  3. Step 3: Cross multiply
    3,924.66x = 5,416.17 × 2,156.40
  4. Step 4: Simplify right side
    3,924.66x = 11,679,428.99
  5. Step 5: Solve for x
    x = 11,679,428.99/3,924.66
  6. Step 6: Final answer
    x = 2,975.91

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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.