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Finding the Fourth Proportional to 5,406.48, 7,461.09 and 2,983.68

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Solution

The fourth proportional to 5,406.48, 7,461.09 and 2,983.68 is: 4,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.48 : 7,461.09 = 2,983.68 : x
  2. Step 2: Convert to fraction form
    5,406.48/7,461.09 = 2,983.68/x
  3. Step 3: Cross multiply
    5,406.48x = 7,461.09 × 2,983.68
  4. Step 4: Simplify right side
    5,406.48x = 22,261,505.01
  5. Step 5: Solve for x
    x = 22,261,505.01/5,406.48
  6. Step 6: Final answer
    x = 4,117.56

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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.