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Finding the Fourth Proportional to 4,836.72, 7,256.40 and 1,374

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Solution

The fourth proportional to 4,836.72, 7,256.40 and 1,374 is: 2,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.72 : 7,256.40 = 1,374 : x
  2. Step 2: Convert to fraction form
    4,836.72/7,256.40 = 1,374/x
  3. Step 3: Cross multiply
    4,836.72x = 7,256.40 × 1,374
  4. Step 4: Simplify right side
    4,836.72x = 9,970,293.60
  5. Step 5: Solve for x
    x = 9,970,293.60/4,836.72
  6. Step 6: Final answer
    x = 2,061.37

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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.