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Finding the Fourth Proportional to 3,237.56, 4,463.12 and 2,290.40

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Solution

The fourth proportional to 3,237.56, 4,463.12 and 2,290.40 is: 3,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.56 : 4,463.12 = 2,290.40 : x
  2. Step 2: Convert to fraction form
    3,237.56/4,463.12 = 2,290.40/x
  3. Step 3: Cross multiply
    3,237.56x = 4,463.12 × 2,290.40
  4. Step 4: Simplify right side
    3,237.56x = 10,222,330.05
  5. Step 5: Solve for x
    x = 10,222,330.05/3,237.56
  6. Step 6: Final answer
    x = 3,157.42

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Why These Related Problems?

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