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Finding the Fourth Proportional to 4,253.44, 6,381.45 and 2,174.90

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Solution

The fourth proportional to 4,253.44, 6,381.45 and 2,174.90 is: 3,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.44 : 6,381.45 = 2,174.90 : x
  2. Step 2: Convert to fraction form
    4,253.44/6,381.45 = 2,174.90/x
  3. Step 3: Cross multiply
    4,253.44x = 6,381.45 × 2,174.90
  4. Step 4: Simplify right side
    4,253.44x = 13,879,019.59
  5. Step 5: Solve for x
    x = 13,879,019.59/4,253.44
  6. Step 6: Final answer
    x = 3,263.01

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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.