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Finding the Fourth Proportional to 3,804.92, 5,694.40 and 3,189.32

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Solution

The fourth proportional to 3,804.92, 5,694.40 and 3,189.32 is: 4,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.92 : 5,694.40 = 3,189.32 : x
  2. Step 2: Convert to fraction form
    3,804.92/5,694.40 = 3,189.32/x
  3. Step 3: Cross multiply
    3,804.92x = 5,694.40 × 3,189.32
  4. Step 4: Simplify right side
    3,804.92x = 18,161,263.81
  5. Step 5: Solve for x
    x = 18,161,263.81/3,804.92
  6. Step 6: Final answer
    x = 4,773.10

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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.