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Finding the Fourth Proportional to 4,577.44, 6,864.51 and 1,945.12

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Solution

The fourth proportional to 4,577.44, 6,864.51 and 1,945.12 is: 2,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.44 : 6,864.51 = 1,945.12 : x
  2. Step 2: Convert to fraction form
    4,577.44/6,864.51 = 1,945.12/x
  3. Step 3: Cross multiply
    4,577.44x = 6,864.51 × 1,945.12
  4. Step 4: Simplify right side
    4,577.44x = 13,352,295.69
  5. Step 5: Solve for x
    x = 13,352,295.69/4,577.44
  6. Step 6: Final answer
    x = 2,916.98

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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.