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Finding the Fourth Proportional to 3,307.84, 4,922.72 and 3,199.84

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Solution

The fourth proportional to 3,307.84, 4,922.72 and 3,199.84 is: 4,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.84 : 4,922.72 = 3,199.84 : x
  2. Step 2: Convert to fraction form
    3,307.84/4,922.72 = 3,199.84/x
  3. Step 3: Cross multiply
    3,307.84x = 4,922.72 × 3,199.84
  4. Step 4: Simplify right side
    3,307.84x = 15,751,916.36
  5. Step 5: Solve for x
    x = 15,751,916.36/3,307.84
  6. Step 6: Final answer
    x = 4,761.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.