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Finding the Fourth Proportional to 3,880.98, 5,816.07 and 2,029.50

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Solution

The fourth proportional to 3,880.98, 5,816.07 and 2,029.50 is: 3,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.98 : 5,816.07 = 2,029.50 : x
  2. Step 2: Convert to fraction form
    3,880.98/5,816.07 = 2,029.50/x
  3. Step 3: Cross multiply
    3,880.98x = 5,816.07 × 2,029.50
  4. Step 4: Simplify right side
    3,880.98x = 11,803,714.07
  5. Step 5: Solve for x
    x = 11,803,714.07/3,880.98
  6. Step 6: Final answer
    x = 3,041.43

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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.