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Finding the Fourth Proportional to 5,367.01, 7,406.50 and 3,009

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Solution

The fourth proportional to 5,367.01, 7,406.50 and 3,009 is: 4,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.01 : 7,406.50 = 3,009 : x
  2. Step 2: Convert to fraction form
    5,367.01/7,406.50 = 3,009/x
  3. Step 3: Cross multiply
    5,367.01x = 7,406.50 × 3,009
  4. Step 4: Simplify right side
    5,367.01x = 22,286,143.46
  5. Step 5: Solve for x
    x = 22,286,143.46/5,367.01
  6. Step 6: Final answer
    x = 4,152.43

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