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Finding the Fourth Proportional to 5,148.76, 7,722.78 and 1,450.84

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Solution

The fourth proportional to 5,148.76, 7,722.78 and 1,450.84 is: 2,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.76 : 7,722.78 = 1,450.84 : x
  2. Step 2: Convert to fraction form
    5,148.76/7,722.78 = 1,450.84/x
  3. Step 3: Cross multiply
    5,148.76x = 7,722.78 × 1,450.84
  4. Step 4: Simplify right side
    5,148.76x = 11,204,518.14
  5. Step 5: Solve for x
    x = 11,204,518.14/5,148.76
  6. Step 6: Final answer
    x = 2,176.16

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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.