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Finding the Fourth Proportional to 6,492.54, 8,959.02 and 3,659.28

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Solution

The fourth proportional to 6,492.54, 8,959.02 and 3,659.28 is: 5,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.54 : 8,959.02 = 3,659.28 : x
  2. Step 2: Convert to fraction form
    6,492.54/8,959.02 = 3,659.28/x
  3. Step 3: Cross multiply
    6,492.54x = 8,959.02 × 3,659.28
  4. Step 4: Simplify right side
    6,492.54x = 32,783,562.71
  5. Step 5: Solve for x
    x = 32,783,562.71/6,492.54
  6. Step 6: Final answer
    x = 5,049.42

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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.