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Finding the Fourth Proportional to 4,922.42, 7,384.04 and 1,412.42

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Solution

The fourth proportional to 4,922.42, 7,384.04 and 1,412.42 is: 2,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.42 : 7,384.04 = 1,412.42 : x
  2. Step 2: Convert to fraction form
    4,922.42/7,384.04 = 1,412.42/x
  3. Step 3: Cross multiply
    4,922.42x = 7,384.04 × 1,412.42
  4. Step 4: Simplify right side
    4,922.42x = 10,429,365.78
  5. Step 5: Solve for x
    x = 10,429,365.78/4,922.42
  6. Step 6: Final answer
    x = 2,118.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.