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Finding the Fourth Proportional to 5,323.74, 7,986.33 and 1,860.06

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Solution

The fourth proportional to 5,323.74, 7,986.33 and 1,860.06 is: 2,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.74 : 7,986.33 = 1,860.06 : x
  2. Step 2: Convert to fraction form
    5,323.74/7,986.33 = 1,860.06/x
  3. Step 3: Cross multiply
    5,323.74x = 7,986.33 × 1,860.06
  4. Step 4: Simplify right side
    5,323.74x = 14,855,052.98
  5. Step 5: Solve for x
    x = 14,855,052.98/5,323.74
  6. Step 6: Final answer
    x = 2,790.34

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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.