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Finding the Fourth Proportional to 3,105.96, 4,657.95 and 1,025.58

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Solution

The fourth proportional to 3,105.96, 4,657.95 and 1,025.58 is: 1,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.96 : 4,657.95 = 1,025.58 : x
  2. Step 2: Convert to fraction form
    3,105.96/4,657.95 = 1,025.58/x
  3. Step 3: Cross multiply
    3,105.96x = 4,657.95 × 1,025.58
  4. Step 4: Simplify right side
    3,105.96x = 4,777,077.07
  5. Step 5: Solve for x
    x = 4,777,077.07/3,105.96
  6. Step 6: Final answer
    x = 1,538.04

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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.