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Finding the Fourth Proportional to 3,116.40, 4,650.24 and 3,042.30

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Solution

The fourth proportional to 3,116.40, 4,650.24 and 3,042.30 is: 4,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.40 : 4,650.24 = 3,042.30 : x
  2. Step 2: Convert to fraction form
    3,116.40/4,650.24 = 3,042.30/x
  3. Step 3: Cross multiply
    3,116.40x = 4,650.24 × 3,042.30
  4. Step 4: Simplify right side
    3,116.40x = 14,147,425.15
  5. Step 5: Solve for x
    x = 14,147,425.15/3,116.40
  6. Step 6: Final answer
    x = 4,539.67

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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.