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Finding the Fourth Proportional to 3,297.77, 4,947.46 and 2,329.95

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Solution

The fourth proportional to 3,297.77, 4,947.46 and 2,329.95 is: 3,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.77 : 4,947.46 = 2,329.95 : x
  2. Step 2: Convert to fraction form
    3,297.77/4,947.46 = 2,329.95/x
  3. Step 3: Cross multiply
    3,297.77x = 4,947.46 × 2,329.95
  4. Step 4: Simplify right side
    3,297.77x = 11,527,328.60
  5. Step 5: Solve for x
    x = 11,527,328.60/3,297.77
  6. Step 6: Final answer
    x = 3,495.50

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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.