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Finding the Fourth Proportional to 3,683.64, 5,084.28 and 2,358.48

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Solution

The fourth proportional to 3,683.64, 5,084.28 and 2,358.48 is: 3,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.64 : 5,084.28 = 2,358.48 : x
  2. Step 2: Convert to fraction form
    3,683.64/5,084.28 = 2,358.48/x
  3. Step 3: Cross multiply
    3,683.64x = 5,084.28 × 2,358.48
  4. Step 4: Simplify right side
    3,683.64x = 11,991,172.69
  5. Step 5: Solve for x
    x = 11,991,172.69/3,683.64
  6. Step 6: Final answer
    x = 3,255.25

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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.