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Finding the Fourth Proportional to 3,455.94, 4,765.59 and 2,275.50

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Solution

The fourth proportional to 3,455.94, 4,765.59 and 2,275.50 is: 3,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.94 : 4,765.59 = 2,275.50 : x
  2. Step 2: Convert to fraction form
    3,455.94/4,765.59 = 2,275.50/x
  3. Step 3: Cross multiply
    3,455.94x = 4,765.59 × 2,275.50
  4. Step 4: Simplify right side
    3,455.94x = 10,844,100.05
  5. Step 5: Solve for x
    x = 10,844,100.05/3,455.94
  6. Step 6: Final answer
    x = 3,137.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.