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Finding the Fourth Proportional to 4,691.40, 7,037.37 and 1,571.82

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Solution

The fourth proportional to 4,691.40, 7,037.37 and 1,571.82 is: 2,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.40 : 7,037.37 = 1,571.82 : x
  2. Step 2: Convert to fraction form
    4,691.40/7,037.37 = 1,571.82/x
  3. Step 3: Cross multiply
    4,691.40x = 7,037.37 × 1,571.82
  4. Step 4: Simplify right side
    4,691.40x = 11,061,478.91
  5. Step 5: Solve for x
    x = 11,061,478.91/4,691.40
  6. Step 6: Final answer
    x = 2,357.82

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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.