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Finding the Fourth Proportional to 3,439.53, 5,157.75 and 973.77

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Solution

The fourth proportional to 3,439.53, 5,157.75 and 973.77 is: 1,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.53 : 5,157.75 = 973.77 : x
  2. Step 2: Convert to fraction form
    3,439.53/5,157.75 = 973.77/x
  3. Step 3: Cross multiply
    3,439.53x = 5,157.75 × 973.77
  4. Step 4: Simplify right side
    3,439.53x = 5,022,431.56
  5. Step 5: Solve for x
    x = 5,022,431.56/3,439.53
  6. Step 6: Final answer
    x = 1,460.21

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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.