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Finding the Fourth Proportional to 4,004.64, 6,009.36 and 1,409.40

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Solution

The fourth proportional to 4,004.64, 6,009.36 and 1,409.40 is: 2,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.64 : 6,009.36 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    4,004.64/6,009.36 = 1,409.40/x
  3. Step 3: Cross multiply
    4,004.64x = 6,009.36 × 1,409.40
  4. Step 4: Simplify right side
    4,004.64x = 8,469,591.98
  5. Step 5: Solve for x
    x = 8,469,591.98/4,004.64
  6. Step 6: Final answer
    x = 2,114.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.