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Finding the Fourth Proportional to 4,254.75, 6,384.56 and 1,946.25

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Solution

The fourth proportional to 4,254.75, 6,384.56 and 1,946.25 is: 2,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.75 : 6,384.56 = 1,946.25 : x
  2. Step 2: Convert to fraction form
    4,254.75/6,384.56 = 1,946.25/x
  3. Step 3: Cross multiply
    4,254.75x = 6,384.56 × 1,946.25
  4. Step 4: Simplify right side
    4,254.75x = 12,425,940.17
  5. Step 5: Solve for x
    x = 12,425,940.17/4,254.75
  6. Step 6: Final answer
    x = 2,920.49

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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.