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Finding the Fourth Proportional to 4,791.85, 6,598.46 and 4,682.68

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Solution

The fourth proportional to 4,791.85, 6,598.46 and 4,682.68 is: 6,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.85 : 6,598.46 = 4,682.68 : x
  2. Step 2: Convert to fraction form
    4,791.85/6,598.46 = 4,682.68/x
  3. Step 3: Cross multiply
    4,791.85x = 6,598.46 × 4,682.68
  4. Step 4: Simplify right side
    4,791.85x = 30,898,471.88
  5. Step 5: Solve for x
    x = 30,898,471.88/4,791.85
  6. Step 6: Final answer
    x = 6,448.13

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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.