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Finding the Fourth Proportional to 5,821.66, 8,726.41 and 2,310.72

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Solution

The fourth proportional to 5,821.66, 8,726.41 and 2,310.72 is: 3,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.66 : 8,726.41 = 2,310.72 : x
  2. Step 2: Convert to fraction form
    5,821.66/8,726.41 = 2,310.72/x
  3. Step 3: Cross multiply
    5,821.66x = 8,726.41 × 2,310.72
  4. Step 4: Simplify right side
    5,821.66x = 20,164,290.12
  5. Step 5: Solve for x
    x = 20,164,290.12/5,821.66
  6. Step 6: Final answer
    x = 3,463.67

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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.