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Finding the Fourth Proportional to 5,152.96, 7,729.39 and 1,643.34

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Solution

The fourth proportional to 5,152.96, 7,729.39 and 1,643.34 is: 2,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.96 : 7,729.39 = 1,643.34 : x
  2. Step 2: Convert to fraction form
    5,152.96/7,729.39 = 1,643.34/x
  3. Step 3: Cross multiply
    5,152.96x = 7,729.39 × 1,643.34
  4. Step 4: Simplify right side
    5,152.96x = 12,702,015.76
  5. Step 5: Solve for x
    x = 12,702,015.76/5,152.96
  6. Step 6: Final answer
    x = 2,464.99

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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.