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Finding the Fourth Proportional to 3,369.98, 5,056.80 and 1,422.14

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Solution

The fourth proportional to 3,369.98, 5,056.80 and 1,422.14 is: 2,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.98 : 5,056.80 = 1,422.14 : x
  2. Step 2: Convert to fraction form
    3,369.98/5,056.80 = 1,422.14/x
  3. Step 3: Cross multiply
    3,369.98x = 5,056.80 × 1,422.14
  4. Step 4: Simplify right side
    3,369.98x = 7,191,477.55
  5. Step 5: Solve for x
    x = 7,191,477.55/3,369.98
  6. Step 6: Final answer
    x = 2,133.98

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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.