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Finding the Fourth Proportional to 3,586.12, 5,352.67 and 3,127.84

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Solution

The fourth proportional to 3,586.12, 5,352.67 and 3,127.84 is: 4,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.12 : 5,352.67 = 3,127.84 : x
  2. Step 2: Convert to fraction form
    3,586.12/5,352.67 = 3,127.84/x
  3. Step 3: Cross multiply
    3,586.12x = 5,352.67 × 3,127.84
  4. Step 4: Simplify right side
    3,586.12x = 16,742,295.33
  5. Step 5: Solve for x
    x = 16,742,295.33/3,586.12
  6. Step 6: Final answer
    x = 4,668.64

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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.