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Finding the Fourth Proportional to 5,804.70, 8,009.15 and 3,286.46

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Solution

The fourth proportional to 5,804.70, 8,009.15 and 3,286.46 is: 4,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.70 : 8,009.15 = 3,286.46 : x
  2. Step 2: Convert to fraction form
    5,804.70/8,009.15 = 3,286.46/x
  3. Step 3: Cross multiply
    5,804.70x = 8,009.15 × 3,286.46
  4. Step 4: Simplify right side
    5,804.70x = 26,321,719.28
  5. Step 5: Solve for x
    x = 26,321,719.28/5,804.70
  6. Step 6: Final answer
    x = 4,534.56

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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.