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Finding the Fourth Proportional to 5,384.48, 8,071.14 and 3,900.05

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Solution

The fourth proportional to 5,384.48, 8,071.14 and 3,900.05 is: 5,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.48 : 8,071.14 = 3,900.05 : x
  2. Step 2: Convert to fraction form
    5,384.48/8,071.14 = 3,900.05/x
  3. Step 3: Cross multiply
    5,384.48x = 8,071.14 × 3,900.05
  4. Step 4: Simplify right side
    5,384.48x = 31,477,854.09
  5. Step 5: Solve for x
    x = 31,477,854.09/5,384.48
  6. Step 6: Final answer
    x = 5,846.04

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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.