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Finding the Fourth Proportional to 5,006.94, 7,511.91 and 1,497.06

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Solution

The fourth proportional to 5,006.94, 7,511.91 and 1,497.06 is: 2,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.94 : 7,511.91 = 1,497.06 : x
  2. Step 2: Convert to fraction form
    5,006.94/7,511.91 = 1,497.06/x
  3. Step 3: Cross multiply
    5,006.94x = 7,511.91 × 1,497.06
  4. Step 4: Simplify right side
    5,006.94x = 11,245,759.56
  5. Step 5: Solve for x
    x = 11,245,759.56/5,006.94
  6. Step 6: Final answer
    x = 2,246.03

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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.