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Finding the Fourth Proportional to 3,878.89, 5,818.41 and 957.22

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Solution

The fourth proportional to 3,878.89, 5,818.41 and 957.22 is: 1,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.89 : 5,818.41 = 957.22 : x
  2. Step 2: Convert to fraction form
    3,878.89/5,818.41 = 957.22/x
  3. Step 3: Cross multiply
    3,878.89x = 5,818.41 × 957.22
  4. Step 4: Simplify right side
    3,878.89x = 5,569,483.87
  5. Step 5: Solve for x
    x = 5,569,483.87/3,878.89
  6. Step 6: Final answer
    x = 1,435.85

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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.