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Finding the Fourth Proportional to 3,347.76, 4,586.40 and 3,223.14

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Solution

The fourth proportional to 3,347.76, 4,586.40 and 3,223.14 is: 4,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.76 : 4,586.40 = 3,223.14 : x
  2. Step 2: Convert to fraction form
    3,347.76/4,586.40 = 3,223.14/x
  3. Step 3: Cross multiply
    3,347.76x = 4,586.40 × 3,223.14
  4. Step 4: Simplify right side
    3,347.76x = 14,782,609.30
  5. Step 5: Solve for x
    x = 14,782,609.30/3,347.76
  6. Step 6: Final answer
    x = 4,415.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.