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Finding the Fourth Proportional to 4,394.64, 6,591.96 and 1,107.99

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Solution

The fourth proportional to 4,394.64, 6,591.96 and 1,107.99 is: 1,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.64 : 6,591.96 = 1,107.99 : x
  2. Step 2: Convert to fraction form
    4,394.64/6,591.96 = 1,107.99/x
  3. Step 3: Cross multiply
    4,394.64x = 6,591.96 × 1,107.99
  4. Step 4: Simplify right side
    4,394.64x = 7,303,825.76
  5. Step 5: Solve for x
    x = 7,303,825.76/4,394.64
  6. Step 6: Final answer
    x = 1,661.99

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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.