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Finding the Fourth Proportional to 4,883.54, 7,324.50 and 1,762.95

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Solution

The fourth proportional to 4,883.54, 7,324.50 and 1,762.95 is: 2,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.54 : 7,324.50 = 1,762.95 : x
  2. Step 2: Convert to fraction form
    4,883.54/7,324.50 = 1,762.95/x
  3. Step 3: Cross multiply
    4,883.54x = 7,324.50 × 1,762.95
  4. Step 4: Simplify right side
    4,883.54x = 12,912,733.89
  5. Step 5: Solve for x
    x = 12,912,733.89/4,883.54
  6. Step 6: Final answer
    x = 2,644.13

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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.