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Finding the Fourth Proportional to 3,525.86, 4,865.57 and 2,033.57

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Solution

The fourth proportional to 3,525.86, 4,865.57 and 2,033.57 is: 2,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.86 : 4,865.57 = 2,033.57 : x
  2. Step 2: Convert to fraction form
    3,525.86/4,865.57 = 2,033.57/x
  3. Step 3: Cross multiply
    3,525.86x = 4,865.57 × 2,033.57
  4. Step 4: Simplify right side
    3,525.86x = 9,894,486.81
  5. Step 5: Solve for x
    x = 9,894,486.81/3,525.86
  6. Step 6: Final answer
    x = 2,806.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.