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Finding the Fourth Proportional to 4,689.94, 7,027.35 and 4,037.62

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Solution

The fourth proportional to 4,689.94, 7,027.35 and 4,037.62 is: 6,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.94 : 7,027.35 = 4,037.62 : x
  2. Step 2: Convert to fraction form
    4,689.94/7,027.35 = 4,037.62/x
  3. Step 3: Cross multiply
    4,689.94x = 7,027.35 × 4,037.62
  4. Step 4: Simplify right side
    4,689.94x = 28,373,768.91
  5. Step 5: Solve for x
    x = 28,373,768.91/4,689.94
  6. Step 6: Final answer
    x = 6,049.92

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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.