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Finding the Fourth Proportional to 3,449.39, 5,172.57 and 983.66

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Solution

The fourth proportional to 3,449.39, 5,172.57 and 983.66 is: 1,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.39 : 5,172.57 = 983.66 : x
  2. Step 2: Convert to fraction form
    3,449.39/5,172.57 = 983.66/x
  3. Step 3: Cross multiply
    3,449.39x = 5,172.57 × 983.66
  4. Step 4: Simplify right side
    3,449.39x = 5,088,024.34
  5. Step 5: Solve for x
    x = 5,088,024.34/3,449.39
  6. Step 6: Final answer
    x = 1,475.05

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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.