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Finding the Fourth Proportional to 3,586.54, 4,947.27 and 2,257.93

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Solution

The fourth proportional to 3,586.54, 4,947.27 and 2,257.93 is: 3,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.54 : 4,947.27 = 2,257.93 : x
  2. Step 2: Convert to fraction form
    3,586.54/4,947.27 = 2,257.93/x
  3. Step 3: Cross multiply
    3,586.54x = 4,947.27 × 2,257.93
  4. Step 4: Simplify right side
    3,586.54x = 11,170,564.61
  5. Step 5: Solve for x
    x = 11,170,564.61/3,586.54
  6. Step 6: Final answer
    x = 3,114.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.