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Finding the Fourth Proportional to 4,116.50, 5,680.56 and 2,324

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Solution

The fourth proportional to 4,116.50, 5,680.56 and 2,324 is: 3,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.50 : 5,680.56 = 2,324 : x
  2. Step 2: Convert to fraction form
    4,116.50/5,680.56 = 2,324/x
  3. Step 3: Cross multiply
    4,116.50x = 5,680.56 × 2,324
  4. Step 4: Simplify right side
    4,116.50x = 13,201,621.44
  5. Step 5: Solve for x
    x = 13,201,621.44/4,116.50
  6. Step 6: Final answer
    x = 3,207.00

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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.