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Finding the Fourth Proportional to 5,362.24, 8,045.09 and 1,665.20

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Solution

The fourth proportional to 5,362.24, 8,045.09 and 1,665.20 is: 2,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.24 : 8,045.09 = 1,665.20 : x
  2. Step 2: Convert to fraction form
    5,362.24/8,045.09 = 1,665.20/x
  3. Step 3: Cross multiply
    5,362.24x = 8,045.09 × 1,665.20
  4. Step 4: Simplify right side
    5,362.24x = 13,396,683.87
  5. Step 5: Solve for x
    x = 13,396,683.87/5,362.24
  6. Step 6: Final answer
    x = 2,498.34

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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.