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Finding the Fourth Proportional to 4,138.90, 6,203.55 and 1,672.10

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Solution

The fourth proportional to 4,138.90, 6,203.55 and 1,672.10 is: 2,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.90 : 6,203.55 = 1,672.10 : x
  2. Step 2: Convert to fraction form
    4,138.90/6,203.55 = 1,672.10/x
  3. Step 3: Cross multiply
    4,138.90x = 6,203.55 × 1,672.10
  4. Step 4: Simplify right side
    4,138.90x = 10,372,955.96
  5. Step 5: Solve for x
    x = 10,372,955.96/4,138.90
  6. Step 6: Final answer
    x = 2,506.21

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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.