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Finding the Fourth Proportional to 3,196.85, 4,762.53 and 3,079.31

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Solution

The fourth proportional to 3,196.85, 4,762.53 and 3,079.31 is: 4,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.85 : 4,762.53 = 3,079.31 : x
  2. Step 2: Convert to fraction form
    3,196.85/4,762.53 = 3,079.31/x
  3. Step 3: Cross multiply
    3,196.85x = 4,762.53 × 3,079.31
  4. Step 4: Simplify right side
    3,196.85x = 14,665,282.44
  5. Step 5: Solve for x
    x = 14,665,282.44/3,196.85
  6. Step 6: Final answer
    x = 4,587.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.