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Finding the Fourth Proportional to 5,742.18, 8,612.96 and 1,846.28

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Solution

The fourth proportional to 5,742.18, 8,612.96 and 1,846.28 is: 2,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.18 : 8,612.96 = 1,846.28 : x
  2. Step 2: Convert to fraction form
    5,742.18/8,612.96 = 1,846.28/x
  3. Step 3: Cross multiply
    5,742.18x = 8,612.96 × 1,846.28
  4. Step 4: Simplify right side
    5,742.18x = 15,901,935.79
  5. Step 5: Solve for x
    x = 15,901,935.79/5,742.18
  6. Step 6: Final answer
    x = 2,769.32

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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.