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Finding the Fourth Proportional to 3,850.45, 5,775.67 and 928.76

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Solution

The fourth proportional to 3,850.45, 5,775.67 and 928.76 is: 1,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.45 : 5,775.67 = 928.76 : x
  2. Step 2: Convert to fraction form
    3,850.45/5,775.67 = 928.76/x
  3. Step 3: Cross multiply
    3,850.45x = 5,775.67 × 928.76
  4. Step 4: Simplify right side
    3,850.45x = 5,364,182.39
  5. Step 5: Solve for x
    x = 5,364,182.39/3,850.45
  6. Step 6: Final answer
    x = 1,393.13

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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.