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Finding the Fourth Proportional to 3,878.83, 5,818.18 and 957.14

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Solution

The fourth proportional to 3,878.83, 5,818.18 and 957.14 is: 1,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.83 : 5,818.18 = 957.14 : x
  2. Step 2: Convert to fraction form
    3,878.83/5,818.18 = 957.14/x
  3. Step 3: Cross multiply
    3,878.83x = 5,818.18 × 957.14
  4. Step 4: Simplify right side
    3,878.83x = 5,568,812.81
  5. Step 5: Solve for x
    x = 5,568,812.81/3,878.83
  6. Step 6: Final answer
    x = 1,435.69

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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.