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Finding the Fourth Proportional to 5,337.65, 8,006.63 and 1,442.09

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Solution

The fourth proportional to 5,337.65, 8,006.63 and 1,442.09 is: 2,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.65 : 8,006.63 = 1,442.09 : x
  2. Step 2: Convert to fraction form
    5,337.65/8,006.63 = 1,442.09/x
  3. Step 3: Cross multiply
    5,337.65x = 8,006.63 × 1,442.09
  4. Step 4: Simplify right side
    5,337.65x = 11,546,233.81
  5. Step 5: Solve for x
    x = 11,546,233.81/5,337.65
  6. Step 6: Final answer
    x = 2,163.17

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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.