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Finding the Fourth Proportional to 5,490.81, 7,537.67 and 5,047.94

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Solution

The fourth proportional to 5,490.81, 7,537.67 and 5,047.94 is: 6,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.81 : 7,537.67 = 5,047.94 : x
  2. Step 2: Convert to fraction form
    5,490.81/7,537.67 = 5,047.94/x
  3. Step 3: Cross multiply
    5,490.81x = 7,537.67 × 5,047.94
  4. Step 4: Simplify right side
    5,490.81x = 38,049,642.97
  5. Step 5: Solve for x
    x = 38,049,642.97/5,490.81
  6. Step 6: Final answer
    x = 6,929.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.