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Finding the Fourth Proportional to 3,382.77, 5,074.26 and 917.58

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Solution

The fourth proportional to 3,382.77, 5,074.26 and 917.58 is: 1,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.77 : 5,074.26 = 917.58 : x
  2. Step 2: Convert to fraction form
    3,382.77/5,074.26 = 917.58/x
  3. Step 3: Cross multiply
    3,382.77x = 5,074.26 × 917.58
  4. Step 4: Simplify right side
    3,382.77x = 4,656,039.49
  5. Step 5: Solve for x
    x = 4,656,039.49/3,382.77
  6. Step 6: Final answer
    x = 1,376.40

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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.