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Finding the Fourth Proportional to 3,216.54, 4,825.16 and 1,024.77

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Solution

The fourth proportional to 3,216.54, 4,825.16 and 1,024.77 is: 1,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.54 : 4,825.16 = 1,024.77 : x
  2. Step 2: Convert to fraction form
    3,216.54/4,825.16 = 1,024.77/x
  3. Step 3: Cross multiply
    3,216.54x = 4,825.16 × 1,024.77
  4. Step 4: Simplify right side
    3,216.54x = 4,944,696.03
  5. Step 5: Solve for x
    x = 4,944,696.03/3,216.54
  6. Step 6: Final answer
    x = 1,537.27

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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.