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Finding the Fourth Proportional to 5,976.02, 8,959.62 and 4,024.10

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Solution

The fourth proportional to 5,976.02, 8,959.62 and 4,024.10 is: 6,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.02 : 8,959.62 = 4,024.10 : x
  2. Step 2: Convert to fraction form
    5,976.02/8,959.62 = 4,024.10/x
  3. Step 3: Cross multiply
    5,976.02x = 8,959.62 × 4,024.10
  4. Step 4: Simplify right side
    5,976.02x = 36,054,406.84
  5. Step 5: Solve for x
    x = 36,054,406.84/5,976.02
  6. Step 6: Final answer
    x = 6,033.18

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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.