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Finding the Fourth Proportional to 3,868.35, 5,802.24 and 1,235.75

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Solution

The fourth proportional to 3,868.35, 5,802.24 and 1,235.75 is: 1,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.35 : 5,802.24 = 1,235.75 : x
  2. Step 2: Convert to fraction form
    3,868.35/5,802.24 = 1,235.75/x
  3. Step 3: Cross multiply
    3,868.35x = 5,802.24 × 1,235.75
  4. Step 4: Simplify right side
    3,868.35x = 7,170,097.40
  5. Step 5: Solve for x
    x = 7,170,097.40/3,868.35
  6. Step 6: Final answer
    x = 1,853.53

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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.