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Finding the Fourth Proportional to 3,867.37, 5,802.20 and 1,235.04

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Solution

The fourth proportional to 3,867.37, 5,802.20 and 1,235.04 is: 1,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.37 : 5,802.20 = 1,235.04 : x
  2. Step 2: Convert to fraction form
    3,867.37/5,802.20 = 1,235.04/x
  3. Step 3: Cross multiply
    3,867.37x = 5,802.20 × 1,235.04
  4. Step 4: Simplify right side
    3,867.37x = 7,165,942.91
  5. Step 5: Solve for x
    x = 7,165,942.91/3,867.37
  6. Step 6: Final answer
    x = 1,852.93

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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.