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Finding the Fourth Proportional to 4,852.84, 7,278.12 and 2,078.20

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Solution

The fourth proportional to 4,852.84, 7,278.12 and 2,078.20 is: 3,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.84 : 7,278.12 = 2,078.20 : x
  2. Step 2: Convert to fraction form
    4,852.84/7,278.12 = 2,078.20/x
  3. Step 3: Cross multiply
    4,852.84x = 7,278.12 × 2,078.20
  4. Step 4: Simplify right side
    4,852.84x = 15,125,388.98
  5. Step 5: Solve for x
    x = 15,125,388.98/4,852.84
  6. Step 6: Final answer
    x = 3,116.81

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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.