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Finding the Fourth Proportional to 5,490.67, 7,589.58 and 5,054.73

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Solution

The fourth proportional to 5,490.67, 7,589.58 and 5,054.73 is: 6,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.67 : 7,589.58 = 5,054.73 : x
  2. Step 2: Convert to fraction form
    5,490.67/7,589.58 = 5,054.73/x
  3. Step 3: Cross multiply
    5,490.67x = 7,589.58 × 5,054.73
  4. Step 4: Simplify right side
    5,490.67x = 38,363,261.39
  5. Step 5: Solve for x
    x = 38,363,261.39/5,490.67
  6. Step 6: Final answer
    x = 6,986.99

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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.