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Finding the Fourth Proportional to 3,804.28, 5,698.11 and 3,138.67

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Solution

The fourth proportional to 3,804.28, 5,698.11 and 3,138.67 is: 4,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.28 : 5,698.11 = 3,138.67 : x
  2. Step 2: Convert to fraction form
    3,804.28/5,698.11 = 3,138.67/x
  3. Step 3: Cross multiply
    3,804.28x = 5,698.11 × 3,138.67
  4. Step 4: Simplify right side
    3,804.28x = 17,884,486.91
  5. Step 5: Solve for x
    x = 17,884,486.91/3,804.28
  6. Step 6: Final answer
    x = 4,701.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.