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Finding the Fourth Proportional to 3,922.04, 5,412.11 and 2,153.74

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Solution

The fourth proportional to 3,922.04, 5,412.11 and 2,153.74 is: 2,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.04 : 5,412.11 = 2,153.74 : x
  2. Step 2: Convert to fraction form
    3,922.04/5,412.11 = 2,153.74/x
  3. Step 3: Cross multiply
    3,922.04x = 5,412.11 × 2,153.74
  4. Step 4: Simplify right side
    3,922.04x = 11,656,277.79
  5. Step 5: Solve for x
    x = 11,656,277.79/3,922.04
  6. Step 6: Final answer
    x = 2,971.99

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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.