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Finding the Fourth Proportional to 3,596, 4,962.36 and 2,024

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Solution

The fourth proportional to 3,596, 4,962.36 and 2,024 is: 2,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596 : 4,962.36 = 2,024 : x
  2. Step 2: Convert to fraction form
    3,596/4,962.36 = 2,024/x
  3. Step 3: Cross multiply
    3,596x = 4,962.36 × 2,024
  4. Step 4: Simplify right side
    3,596x = 10,043,816.64
  5. Step 5: Solve for x
    x = 10,043,816.64/3,596
  6. Step 6: Final answer
    x = 2,793.05

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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.