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Finding the Fourth Proportional to 3,223.77, 4,834.71 and 1,277.34

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Solution

The fourth proportional to 3,223.77, 4,834.71 and 1,277.34 is: 1,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.77 : 4,834.71 = 1,277.34 : x
  2. Step 2: Convert to fraction form
    3,223.77/4,834.71 = 1,277.34/x
  3. Step 3: Cross multiply
    3,223.77x = 4,834.71 × 1,277.34
  4. Step 4: Simplify right side
    3,223.77x = 6,175,568.47
  5. Step 5: Solve for x
    x = 6,175,568.47/3,223.77
  6. Step 6: Final answer
    x = 1,915.64

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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.