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Finding the Fourth Proportional to 4,388.24, 6,580.64 and 1,790.24

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Solution

The fourth proportional to 4,388.24, 6,580.64 and 1,790.24 is: 2,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.24 : 6,580.64 = 1,790.24 : x
  2. Step 2: Convert to fraction form
    4,388.24/6,580.64 = 1,790.24/x
  3. Step 3: Cross multiply
    4,388.24x = 6,580.64 × 1,790.24
  4. Step 4: Simplify right side
    4,388.24x = 11,780,924.95
  5. Step 5: Solve for x
    x = 11,780,924.95/4,388.24
  6. Step 6: Final answer
    x = 2,684.66

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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.