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Finding the Fourth Proportional to 3,436.83, 5,155.16 and 971.60

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Solution

The fourth proportional to 3,436.83, 5,155.16 and 971.60 is: 1,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.83 : 5,155.16 = 971.60 : x
  2. Step 2: Convert to fraction form
    3,436.83/5,155.16 = 971.60/x
  3. Step 3: Cross multiply
    3,436.83x = 5,155.16 × 971.60
  4. Step 4: Simplify right side
    3,436.83x = 5,008,722.82
  5. Step 5: Solve for x
    x = 5,008,722.82/3,436.83
  6. Step 6: Final answer
    x = 1,457.37

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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.