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Finding the Fourth Proportional to 3,824.07, 5,735.00 and 1,050.83

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Solution

The fourth proportional to 3,824.07, 5,735.00 and 1,050.83 is: 1,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.07 : 5,735.00 = 1,050.83 : x
  2. Step 2: Convert to fraction form
    3,824.07/5,735.00 = 1,050.83/x
  3. Step 3: Cross multiply
    3,824.07x = 5,735.00 × 1,050.83
  4. Step 4: Simplify right side
    3,824.07x = 6,026,497.63
  5. Step 5: Solve for x
    x = 6,026,497.63/3,824.07
  6. Step 6: Final answer
    x = 1,575.94

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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.