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Finding the Fourth Proportional to 5,802, 8,704.48 and 1,698

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Solution

The fourth proportional to 5,802, 8,704.48 and 1,698 is: 2,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802 : 8,704.48 = 1,698 : x
  2. Step 2: Convert to fraction form
    5,802/8,704.48 = 1,698/x
  3. Step 3: Cross multiply
    5,802x = 8,704.48 × 1,698
  4. Step 4: Simplify right side
    5,802x = 14,780,207.04
  5. Step 5: Solve for x
    x = 14,780,207.04/5,802
  6. Step 6: Final answer
    x = 2,547.43

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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.