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Finding the Fourth Proportional to 4,852.53, 7,278.80 and 1,930.86

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Solution

The fourth proportional to 4,852.53, 7,278.80 and 1,930.86 is: 2,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.53 : 7,278.80 = 1,930.86 : x
  2. Step 2: Convert to fraction form
    4,852.53/7,278.80 = 1,930.86/x
  3. Step 3: Cross multiply
    4,852.53x = 7,278.80 × 1,930.86
  4. Step 4: Simplify right side
    4,852.53x = 14,054,334.11
  5. Step 5: Solve for x
    x = 14,054,334.11/4,852.53
  6. Step 6: Final answer
    x = 2,896.29

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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.