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Finding the Fourth Proportional to 4,791.60, 7,187.40 and 4,086.90

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Solution

The fourth proportional to 4,791.60, 7,187.40 and 4,086.90 is: 6,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.60 : 7,187.40 = 4,086.90 : x
  2. Step 2: Convert to fraction form
    4,791.60/7,187.40 = 4,086.90/x
  3. Step 3: Cross multiply
    4,791.60x = 7,187.40 × 4,086.90
  4. Step 4: Simplify right side
    4,791.60x = 29,374,185.06
  5. Step 5: Solve for x
    x = 29,374,185.06/4,791.60
  6. Step 6: Final answer
    x = 6,130.35

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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.