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Finding the Fourth Proportional to 3,025.91, 4,539.06 and 804.71

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Solution

The fourth proportional to 3,025.91, 4,539.06 and 804.71 is: 1,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.91 : 4,539.06 = 804.71 : x
  2. Step 2: Convert to fraction form
    3,025.91/4,539.06 = 804.71/x
  3. Step 3: Cross multiply
    3,025.91x = 4,539.06 × 804.71
  4. Step 4: Simplify right side
    3,025.91x = 3,652,626.97
  5. Step 5: Solve for x
    x = 3,652,626.97/3,025.91
  6. Step 6: Final answer
    x = 1,207.12

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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.