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Finding the Fourth Proportional to 4,282.31, 5,905.63 and 3,287.63

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Solution

The fourth proportional to 4,282.31, 5,905.63 and 3,287.63 is: 4,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.31 : 5,905.63 = 3,287.63 : x
  2. Step 2: Convert to fraction form
    4,282.31/5,905.63 = 3,287.63/x
  3. Step 3: Cross multiply
    4,282.31x = 5,905.63 × 3,287.63
  4. Step 4: Simplify right side
    4,282.31x = 19,415,526.36
  5. Step 5: Solve for x
    x = 19,415,526.36/4,282.31
  6. Step 6: Final answer
    x = 4,533.89

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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.