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Finding the Fourth Proportional to 3,835.07, 5,752.58 and 1,202.78

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Solution

The fourth proportional to 3,835.07, 5,752.58 and 1,202.78 is: 1,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.07 : 5,752.58 = 1,202.78 : x
  2. Step 2: Convert to fraction form
    3,835.07/5,752.58 = 1,202.78/x
  3. Step 3: Cross multiply
    3,835.07x = 5,752.58 × 1,202.78
  4. Step 4: Simplify right side
    3,835.07x = 6,919,059.41
  5. Step 5: Solve for x
    x = 6,919,059.41/3,835.07
  6. Step 6: Final answer
    x = 1,804.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.