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Finding the Fourth Proportional to 5,216.88, 7,824.92 and 3,024.24

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Solution

The fourth proportional to 5,216.88, 7,824.92 and 3,024.24 is: 4,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.88 : 7,824.92 = 3,024.24 : x
  2. Step 2: Convert to fraction form
    5,216.88/7,824.92 = 3,024.24/x
  3. Step 3: Cross multiply
    5,216.88x = 7,824.92 × 3,024.24
  4. Step 4: Simplify right side
    5,216.88x = 23,664,436.06
  5. Step 5: Solve for x
    x = 23,664,436.06/5,216.88
  6. Step 6: Final answer
    x = 4,536.13

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1.5x scale

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.