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Finding the Fourth Proportional to 4,659.28, 6,432.84 and 2,893.48

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Solution

The fourth proportional to 4,659.28, 6,432.84 and 2,893.48 is: 3,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.28 : 6,432.84 = 2,893.48 : x
  2. Step 2: Convert to fraction form
    4,659.28/6,432.84 = 2,893.48/x
  3. Step 3: Cross multiply
    4,659.28x = 6,432.84 × 2,893.48
  4. Step 4: Simplify right side
    4,659.28x = 18,613,293.88
  5. Step 5: Solve for x
    x = 18,613,293.88/4,659.28
  6. Step 6: Final answer
    x = 3,994.89

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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.