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Finding the Fourth Proportional to 5,898.51, 8,140.23 and 3,661.56

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Solution

The fourth proportional to 5,898.51, 8,140.23 and 3,661.56 is: 5,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.51 : 8,140.23 = 3,661.56 : x
  2. Step 2: Convert to fraction form
    5,898.51/8,140.23 = 3,661.56/x
  3. Step 3: Cross multiply
    5,898.51x = 8,140.23 × 3,661.56
  4. Step 4: Simplify right side
    5,898.51x = 29,805,940.56
  5. Step 5: Solve for x
    x = 29,805,940.56/5,898.51
  6. Step 6: Final answer
    x = 5,053.13

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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.