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Finding the Fourth Proportional to 4,577.80, 6,865.28 and 1,945.28

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Solution

The fourth proportional to 4,577.80, 6,865.28 and 1,945.28 is: 2,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.80 : 6,865.28 = 1,945.28 : x
  2. Step 2: Convert to fraction form
    4,577.80/6,865.28 = 1,945.28/x
  3. Step 3: Cross multiply
    4,577.80x = 6,865.28 × 1,945.28
  4. Step 4: Simplify right side
    4,577.80x = 13,354,891.88
  5. Step 5: Solve for x
    x = 13,354,891.88/4,577.80
  6. Step 6: Final answer
    x = 2,917.32

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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.