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Finding the Fourth Proportional to 4,674, 7,011.18 and 1,596

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Solution

The fourth proportional to 4,674, 7,011.18 and 1,596 is: 2,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674 : 7,011.18 = 1,596 : x
  2. Step 2: Convert to fraction form
    4,674/7,011.18 = 1,596/x
  3. Step 3: Cross multiply
    4,674x = 7,011.18 × 1,596
  4. Step 4: Simplify right side
    4,674x = 11,189,843.28
  5. Step 5: Solve for x
    x = 11,189,843.28/4,674
  6. Step 6: Final answer
    x = 2,394.06

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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.