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Finding the Fourth Proportional to 3,436.75, 5,155.17 and 971.61

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Solution

The fourth proportional to 3,436.75, 5,155.17 and 971.61 is: 1,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.75 : 5,155.17 = 971.61 : x
  2. Step 2: Convert to fraction form
    3,436.75/5,155.17 = 971.61/x
  3. Step 3: Cross multiply
    3,436.75x = 5,155.17 × 971.61
  4. Step 4: Simplify right side
    3,436.75x = 5,008,814.72
  5. Step 5: Solve for x
    x = 5,008,814.72/3,436.75
  6. Step 6: Final answer
    x = 1,457.43

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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.