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Finding the Fourth Proportional to 5,496.80, 7,586.48 and 4,089.83

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Solution

The fourth proportional to 5,496.80, 7,586.48 and 4,089.83 is: 5,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.80 : 7,586.48 = 4,089.83 : x
  2. Step 2: Convert to fraction form
    5,496.80/7,586.48 = 4,089.83/x
  3. Step 3: Cross multiply
    5,496.80x = 7,586.48 × 4,089.83
  4. Step 4: Simplify right side
    5,496.80x = 31,027,442.69
  5. Step 5: Solve for x
    x = 31,027,442.69/5,496.80
  6. Step 6: Final answer
    x = 5,644.63

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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.