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Finding the Fourth Proportional to 4,447.87, 6,671.29 and 1,161.22

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Solution

The fourth proportional to 4,447.87, 6,671.29 and 1,161.22 is: 1,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.87 : 6,671.29 = 1,161.22 : x
  2. Step 2: Convert to fraction form
    4,447.87/6,671.29 = 1,161.22/x
  3. Step 3: Cross multiply
    4,447.87x = 6,671.29 × 1,161.22
  4. Step 4: Simplify right side
    4,447.87x = 7,746,835.37
  5. Step 5: Solve for x
    x = 7,746,835.37/4,447.87
  6. Step 6: Final answer
    x = 1,741.70

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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.