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Finding the Fourth Proportional to 3,883.50, 5,810.67 and 2,415.78

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Solution

The fourth proportional to 3,883.50, 5,810.67 and 2,415.78 is: 3,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.50 : 5,810.67 = 2,415.78 : x
  2. Step 2: Convert to fraction form
    3,883.50/5,810.67 = 2,415.78/x
  3. Step 3: Cross multiply
    3,883.50x = 5,810.67 × 2,415.78
  4. Step 4: Simplify right side
    3,883.50x = 14,037,300.37
  5. Step 5: Solve for x
    x = 14,037,300.37/3,883.50
  6. Step 6: Final answer
    x = 3,614.60

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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.