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Finding the Fourth Proportional to 4,424.48, 6,639.24 and 1,829.60

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Solution

The fourth proportional to 4,424.48, 6,639.24 and 1,829.60 is: 2,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.48 : 6,639.24 = 1,829.60 : x
  2. Step 2: Convert to fraction form
    4,424.48/6,639.24 = 1,829.60/x
  3. Step 3: Cross multiply
    4,424.48x = 6,639.24 × 1,829.60
  4. Step 4: Simplify right side
    4,424.48x = 12,147,153.50
  5. Step 5: Solve for x
    x = 12,147,153.50/4,424.48
  6. Step 6: Final answer
    x = 2,745.44

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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.