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Finding the Fourth Proportional to 4,556.28, 6,833.88 and 1,478.28

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Solution

The fourth proportional to 4,556.28, 6,833.88 and 1,478.28 is: 2,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.28 : 6,833.88 = 1,478.28 : x
  2. Step 2: Convert to fraction form
    4,556.28/6,833.88 = 1,478.28/x
  3. Step 3: Cross multiply
    4,556.28x = 6,833.88 × 1,478.28
  4. Step 4: Simplify right side
    4,556.28x = 10,102,388.13
  5. Step 5: Solve for x
    x = 10,102,388.13/4,556.28
  6. Step 6: Final answer
    x = 2,217.24

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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.