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Finding the Fourth Proportional to 4,611.77, 6,917.49 and 1,491.75

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Solution

The fourth proportional to 4,611.77, 6,917.49 and 1,491.75 is: 2,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.77 : 6,917.49 = 1,491.75 : x
  2. Step 2: Convert to fraction form
    4,611.77/6,917.49 = 1,491.75/x
  3. Step 3: Cross multiply
    4,611.77x = 6,917.49 × 1,491.75
  4. Step 4: Simplify right side
    4,611.77x = 10,319,165.71
  5. Step 5: Solve for x
    x = 10,319,165.71/4,611.77
  6. Step 6: Final answer
    x = 2,237.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.