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Finding the Fourth Proportional to 3,907.08, 5,852.77 and 1,824.21

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Solution

The fourth proportional to 3,907.08, 5,852.77 and 1,824.21 is: 2,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.08 : 5,852.77 = 1,824.21 : x
  2. Step 2: Convert to fraction form
    3,907.08/5,852.77 = 1,824.21/x
  3. Step 3: Cross multiply
    3,907.08x = 5,852.77 × 1,824.21
  4. Step 4: Simplify right side
    3,907.08x = 10,676,677.00
  5. Step 5: Solve for x
    x = 10,676,677.00/3,907.08
  6. Step 6: Final answer
    x = 2,732.65

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1.5x scale

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.