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Finding the Fourth Proportional to 5,804.06, 8,009.51 and 3,286.64

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Solution

The fourth proportional to 5,804.06, 8,009.51 and 3,286.64 is: 4,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.06 : 8,009.51 = 3,286.64 : x
  2. Step 2: Convert to fraction form
    5,804.06/8,009.51 = 3,286.64/x
  3. Step 3: Cross multiply
    5,804.06x = 8,009.51 × 3,286.64
  4. Step 4: Simplify right side
    5,804.06x = 26,324,319.47
  5. Step 5: Solve for x
    x = 26,324,319.47/5,804.06
  6. Step 6: Final answer
    x = 4,535.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.