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Finding the Fourth Proportional to 5,989.65, 8,266.25 and 4,494.89

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Solution

The fourth proportional to 5,989.65, 8,266.25 and 4,494.89 is: 6,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.65 : 8,266.25 = 4,494.89 : x
  2. Step 2: Convert to fraction form
    5,989.65/8,266.25 = 4,494.89/x
  3. Step 3: Cross multiply
    5,989.65x = 8,266.25 × 4,494.89
  4. Step 4: Simplify right side
    5,989.65x = 37,155,916.37
  5. Step 5: Solve for x
    x = 37,155,916.37/5,989.65
  6. Step 6: Final answer
    x = 6,203.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.