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Finding the Fourth Proportional to 3,880.48, 5,821.52 and 2,031.24

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Solution

The fourth proportional to 3,880.48, 5,821.52 and 2,031.24 is: 3,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.48 : 5,821.52 = 2,031.24 : x
  2. Step 2: Convert to fraction form
    3,880.48/5,821.52 = 2,031.24/x
  3. Step 3: Cross multiply
    3,880.48x = 5,821.52 × 2,031.24
  4. Step 4: Simplify right side
    3,880.48x = 11,824,904.28
  5. Step 5: Solve for x
    x = 11,824,904.28/3,880.48
  6. Step 6: Final answer
    x = 3,047.28

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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.