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Finding the Fourth Proportional to 3,833.08, 5,751.03 and 1,643.51

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Solution

The fourth proportional to 3,833.08, 5,751.03 and 1,643.51 is: 2,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.08 : 5,751.03 = 1,643.51 : x
  2. Step 2: Convert to fraction form
    3,833.08/5,751.03 = 1,643.51/x
  3. Step 3: Cross multiply
    3,833.08x = 5,751.03 × 1,643.51
  4. Step 4: Simplify right side
    3,833.08x = 9,451,875.32
  5. Step 5: Solve for x
    x = 9,451,875.32/3,833.08
  6. Step 6: Final answer
    x = 2,465.87

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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.