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Finding the Fourth Proportional to 3,878.46, 5,818.91 and 1,283.22

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Solution

The fourth proportional to 3,878.46, 5,818.91 and 1,283.22 is: 1,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.46 : 5,818.91 = 1,283.22 : x
  2. Step 2: Convert to fraction form
    3,878.46/5,818.91 = 1,283.22/x
  3. Step 3: Cross multiply
    3,878.46x = 5,818.91 × 1,283.22
  4. Step 4: Simplify right side
    3,878.46x = 7,466,941.69
  5. Step 5: Solve for x
    x = 7,466,941.69/3,878.46
  6. Step 6: Final answer
    x = 1,925.23

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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.