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Finding the Fourth Proportional to 5,825.64, 8,738.52 and 1,665.66

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Solution

The fourth proportional to 5,825.64, 8,738.52 and 1,665.66 is: 2,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.64 : 8,738.52 = 1,665.66 : x
  2. Step 2: Convert to fraction form
    5,825.64/8,738.52 = 1,665.66/x
  3. Step 3: Cross multiply
    5,825.64x = 8,738.52 × 1,665.66
  4. Step 4: Simplify right side
    5,825.64x = 14,555,403.22
  5. Step 5: Solve for x
    x = 14,555,403.22/5,825.64
  6. Step 6: Final answer
    x = 2,498.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.