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Finding the Fourth Proportional to 4,850.64, 7,270.80 and 3,120.48

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Solution

The fourth proportional to 4,850.64, 7,270.80 and 3,120.48 is: 4,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.64 : 7,270.80 = 3,120.48 : x
  2. Step 2: Convert to fraction form
    4,850.64/7,270.80 = 3,120.48/x
  3. Step 3: Cross multiply
    4,850.64x = 7,270.80 × 3,120.48
  4. Step 4: Simplify right side
    4,850.64x = 22,688,385.98
  5. Step 5: Solve for x
    x = 22,688,385.98/4,850.64
  6. Step 6: Final answer
    x = 4,677.40

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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.