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Finding the Fourth Proportional to 6,580.41, 9,081.98 and 4,029.67

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Solution

The fourth proportional to 6,580.41, 9,081.98 and 4,029.67 is: 5,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.41 : 9,081.98 = 4,029.67 : x
  2. Step 2: Convert to fraction form
    6,580.41/9,081.98 = 4,029.67/x
  3. Step 3: Cross multiply
    6,580.41x = 9,081.98 × 4,029.67
  4. Step 4: Simplify right side
    6,580.41x = 36,597,382.35
  5. Step 5: Solve for x
    x = 36,597,382.35/6,580.41
  6. Step 6: Final answer
    x = 5,561.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.