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Finding the Fourth Proportional to 5,046.52, 7,558.84 and 2,444

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Solution

The fourth proportional to 5,046.52, 7,558.84 and 2,444 is: 3,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.52 : 7,558.84 = 2,444 : x
  2. Step 2: Convert to fraction form
    5,046.52/7,558.84 = 2,444/x
  3. Step 3: Cross multiply
    5,046.52x = 7,558.84 × 2,444
  4. Step 4: Simplify right side
    5,046.52x = 18,473,804.96
  5. Step 5: Solve for x
    x = 18,473,804.96/5,046.52
  6. Step 6: Final answer
    x = 3,660.70

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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.