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Finding the Fourth Proportional to 5,131.70, 7,697.06 and 1,433.64

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Solution

The fourth proportional to 5,131.70, 7,697.06 and 1,433.64 is: 2,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.70 : 7,697.06 = 1,433.64 : x
  2. Step 2: Convert to fraction form
    5,131.70/7,697.06 = 1,433.64/x
  3. Step 3: Cross multiply
    5,131.70x = 7,697.06 × 1,433.64
  4. Step 4: Simplify right side
    5,131.70x = 11,034,813.10
  5. Step 5: Solve for x
    x = 11,034,813.10/5,131.70
  6. Step 6: Final answer
    x = 2,150.32

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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.