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Finding the Fourth Proportional to 5,846.24, 8,753.40 and 4,869.20

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Solution

The fourth proportional to 5,846.24, 8,753.40 and 4,869.20 is: 7,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.24 : 8,753.40 = 4,869.20 : x
  2. Step 2: Convert to fraction form
    5,846.24/8,753.40 = 4,869.20/x
  3. Step 3: Cross multiply
    5,846.24x = 8,753.40 × 4,869.20
  4. Step 4: Simplify right side
    5,846.24x = 42,622,055.28
  5. Step 5: Solve for x
    x = 42,622,055.28/5,846.24
  6. Step 6: Final answer
    x = 7,290.51

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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.