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Finding the Fourth Proportional to 3,025.86, 4,538.82 and 835.26

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Solution

The fourth proportional to 3,025.86, 4,538.82 and 835.26 is: 1,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.86 : 4,538.82 = 835.26 : x
  2. Step 2: Convert to fraction form
    3,025.86/4,538.82 = 835.26/x
  3. Step 3: Cross multiply
    3,025.86x = 4,538.82 × 835.26
  4. Step 4: Simplify right side
    3,025.86x = 3,791,094.79
  5. Step 5: Solve for x
    x = 3,791,094.79/3,025.86
  6. Step 6: Final answer
    x = 1,252.90

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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.