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Finding the Fourth Proportional to 3,790.50, 5,686.51 and 1,599.22

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Solution

The fourth proportional to 3,790.50, 5,686.51 and 1,599.22 is: 2,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.50 : 5,686.51 = 1,599.22 : x
  2. Step 2: Convert to fraction form
    3,790.50/5,686.51 = 1,599.22/x
  3. Step 3: Cross multiply
    3,790.50x = 5,686.51 × 1,599.22
  4. Step 4: Simplify right side
    3,790.50x = 9,093,980.52
  5. Step 5: Solve for x
    x = 9,093,980.52/3,790.50
  6. Step 6: Final answer
    x = 2,399.15

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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.