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Finding the Fourth Proportional to 4,674.02, 7,011.03 and 1,596.02

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Solution

The fourth proportional to 4,674.02, 7,011.03 and 1,596.02 is: 2,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.02 : 7,011.03 = 1,596.02 : x
  2. Step 2: Convert to fraction form
    4,674.02/7,011.03 = 1,596.02/x
  3. Step 3: Cross multiply
    4,674.02x = 7,011.03 × 1,596.02
  4. Step 4: Simplify right side
    4,674.02x = 11,189,744.10
  5. Step 5: Solve for x
    x = 11,189,744.10/4,674.02
  6. Step 6: Final answer
    x = 2,394.03

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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.