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Finding the Fourth Proportional to 3,439.90, 4,749.46 and 3,038.50

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Solution

The fourth proportional to 3,439.90, 4,749.46 and 3,038.50 is: 4,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.90 : 4,749.46 = 3,038.50 : x
  2. Step 2: Convert to fraction form
    3,439.90/4,749.46 = 3,038.50/x
  3. Step 3: Cross multiply
    3,439.90x = 4,749.46 × 3,038.50
  4. Step 4: Simplify right side
    3,439.90x = 14,431,234.21
  5. Step 5: Solve for x
    x = 14,431,234.21/3,439.90
  6. Step 6: Final answer
    x = 4,195.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.