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Finding the Fourth Proportional to 4,833.64, 6,669.40 and 2,844.40

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Solution

The fourth proportional to 4,833.64, 6,669.40 and 2,844.40 is: 3,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.64 : 6,669.40 = 2,844.40 : x
  2. Step 2: Convert to fraction form
    4,833.64/6,669.40 = 2,844.40/x
  3. Step 3: Cross multiply
    4,833.64x = 6,669.40 × 2,844.40
  4. Step 4: Simplify right side
    4,833.64x = 18,970,441.36
  5. Step 5: Solve for x
    x = 18,970,441.36/4,833.64
  6. Step 6: Final answer
    x = 3,924.67

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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.