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Finding the Fourth Proportional to 5,847.85, 8,071.14 and 3,491.29

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Solution

The fourth proportional to 5,847.85, 8,071.14 and 3,491.29 is: 4,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.85 : 8,071.14 = 3,491.29 : x
  2. Step 2: Convert to fraction form
    5,847.85/8,071.14 = 3,491.29/x
  3. Step 3: Cross multiply
    5,847.85x = 8,071.14 × 3,491.29
  4. Step 4: Simplify right side
    5,847.85x = 28,178,690.37
  5. Step 5: Solve for x
    x = 28,178,690.37/5,847.85
  6. Step 6: Final answer
    x = 4,818.64

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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.