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Finding the Fourth Proportional to 3,205.86, 4,810.01 and 1,357.44

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Solution

The fourth proportional to 3,205.86, 4,810.01 and 1,357.44 is: 2,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.86 : 4,810.01 = 1,357.44 : x
  2. Step 2: Convert to fraction form
    3,205.86/4,810.01 = 1,357.44/x
  3. Step 3: Cross multiply
    3,205.86x = 4,810.01 × 1,357.44
  4. Step 4: Simplify right side
    3,205.86x = 6,529,293.19
  5. Step 5: Solve for x
    x = 6,529,293.19/3,205.86
  6. Step 6: Final answer
    x = 2,036.67

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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.