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Finding the Fourth Proportional to 5,642.31, 7,786.49 and 3,284.40

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Solution

The fourth proportional to 5,642.31, 7,786.49 and 3,284.40 is: 4,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.31 : 7,786.49 = 3,284.40 : x
  2. Step 2: Convert to fraction form
    5,642.31/7,786.49 = 3,284.40/x
  3. Step 3: Cross multiply
    5,642.31x = 7,786.49 × 3,284.40
  4. Step 4: Simplify right side
    5,642.31x = 25,573,931.33
  5. Step 5: Solve for x
    x = 25,573,931.33/5,642.31
  6. Step 6: Final answer
    x = 4,532.53

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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.