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Finding the Fourth Proportional to 3,987.86, 5,503.42 and 3,323.60

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Solution

The fourth proportional to 3,987.86, 5,503.42 and 3,323.60 is: 4,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.86 : 5,503.42 = 3,323.60 : x
  2. Step 2: Convert to fraction form
    3,987.86/5,503.42 = 3,323.60/x
  3. Step 3: Cross multiply
    3,987.86x = 5,503.42 × 3,323.60
  4. Step 4: Simplify right side
    3,987.86x = 18,291,130.89
  5. Step 5: Solve for x
    x = 18,291,130.89/3,987.86
  6. Step 6: Final answer
    x = 4,586.71

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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.