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Finding the Fourth Proportional to 5,847.40, 8,071.14 and 3,752.20

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Solution

The fourth proportional to 5,847.40, 8,071.14 and 3,752.20 is: 5,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.40 : 8,071.14 = 3,752.20 : x
  2. Step 2: Convert to fraction form
    5,847.40/8,071.14 = 3,752.20/x
  3. Step 3: Cross multiply
    5,847.40x = 8,071.14 × 3,752.20
  4. Step 4: Simplify right side
    5,847.40x = 30,284,531.51
  5. Step 5: Solve for x
    x = 30,284,531.51/5,847.40
  6. Step 6: Final answer
    x = 5,179.14

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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.