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Finding the Fourth Proportional to 3,915.93, 5,873.30 and 1,283.43

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Solution

The fourth proportional to 3,915.93, 5,873.30 and 1,283.43 is: 1,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.93 : 5,873.30 = 1,283.43 : x
  2. Step 2: Convert to fraction form
    3,915.93/5,873.30 = 1,283.43/x
  3. Step 3: Cross multiply
    3,915.93x = 5,873.30 × 1,283.43
  4. Step 4: Simplify right side
    3,915.93x = 7,537,969.42
  5. Step 5: Solve for x
    x = 7,537,969.42/3,915.93
  6. Step 6: Final answer
    x = 1,924.95

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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.