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Finding the Fourth Proportional to 3,790.86, 5,683.60 and 1,448.89

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Solution

The fourth proportional to 3,790.86, 5,683.60 and 1,448.89 is: 2,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.86 : 5,683.60 = 1,448.89 : x
  2. Step 2: Convert to fraction form
    3,790.86/5,683.60 = 1,448.89/x
  3. Step 3: Cross multiply
    3,790.86x = 5,683.60 × 1,448.89
  4. Step 4: Simplify right side
    3,790.86x = 8,234,925.41
  5. Step 5: Solve for x
    x = 8,234,925.41/3,790.86
  6. Step 6: Final answer
    x = 2,172.31

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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.