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Finding the Fourth Proportional to 3,437.96, 5,157.59 and 1,563.99

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Solution

The fourth proportional to 3,437.96, 5,157.59 and 1,563.99 is: 2,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.96 : 5,157.59 = 1,563.99 : x
  2. Step 2: Convert to fraction form
    3,437.96/5,157.59 = 1,563.99/x
  3. Step 3: Cross multiply
    3,437.96x = 5,157.59 × 1,563.99
  4. Step 4: Simplify right side
    3,437.96x = 8,066,442.44
  5. Step 5: Solve for x
    x = 8,066,442.44/3,437.96
  6. Step 6: Final answer
    x = 2,346.29

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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.