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Finding the Fourth Proportional to 4,314.52, 6,472.68 and 2,094.94

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Solution

The fourth proportional to 4,314.52, 6,472.68 and 2,094.94 is: 3,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.52 : 6,472.68 = 2,094.94 : x
  2. Step 2: Convert to fraction form
    4,314.52/6,472.68 = 2,094.94/x
  3. Step 3: Cross multiply
    4,314.52x = 6,472.68 × 2,094.94
  4. Step 4: Simplify right side
    4,314.52x = 13,559,876.24
  5. Step 5: Solve for x
    x = 13,559,876.24/4,314.52
  6. Step 6: Final answer
    x = 3,142.85

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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.