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Finding the Fourth Proportional to 4,556.48, 6,834.86 and 3,006.41

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Solution

The fourth proportional to 4,556.48, 6,834.86 and 3,006.41 is: 4,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.48 : 6,834.86 = 3,006.41 : x
  2. Step 2: Convert to fraction form
    4,556.48/6,834.86 = 3,006.41/x
  3. Step 3: Cross multiply
    4,556.48x = 6,834.86 × 3,006.41
  4. Step 4: Simplify right side
    4,556.48x = 20,548,376.42
  5. Step 5: Solve for x
    x = 20,548,376.42/4,556.48
  6. Step 6: Final answer
    x = 4,509.70

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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.