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Finding the Fourth Proportional to 4,138.48, 6,203.58 and 2,290.42

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Solution

The fourth proportional to 4,138.48, 6,203.58 and 2,290.42 is: 3,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.48 : 6,203.58 = 2,290.42 : x
  2. Step 2: Convert to fraction form
    4,138.48/6,203.58 = 2,290.42/x
  3. Step 3: Cross multiply
    4,138.48x = 6,203.58 × 2,290.42
  4. Step 4: Simplify right side
    4,138.48x = 14,208,803.70
  5. Step 5: Solve for x
    x = 14,208,803.70/4,138.48
  6. Step 6: Final answer
    x = 3,433.34

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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.