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Finding the Fourth Proportional to 5,642.36, 8,476.51 and 3,980.31

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Solution

The fourth proportional to 5,642.36, 8,476.51 and 3,980.31 is: 5,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.36 : 8,476.51 = 3,980.31 : x
  2. Step 2: Convert to fraction form
    5,642.36/8,476.51 = 3,980.31/x
  3. Step 3: Cross multiply
    5,642.36x = 8,476.51 × 3,980.31
  4. Step 4: Simplify right side
    5,642.36x = 33,739,139.31
  5. Step 5: Solve for x
    x = 33,739,139.31/5,642.36
  6. Step 6: Final answer
    x = 5,979.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.