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Finding the Fourth Proportional to 4,770.68, 6,582.12 and 3,280.28

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Solution

The fourth proportional to 4,770.68, 6,582.12 and 3,280.28 is: 4,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.68 : 6,582.12 = 3,280.28 : x
  2. Step 2: Convert to fraction form
    4,770.68/6,582.12 = 3,280.28/x
  3. Step 3: Cross multiply
    4,770.68x = 6,582.12 × 3,280.28
  4. Step 4: Simplify right side
    4,770.68x = 21,591,196.59
  5. Step 5: Solve for x
    x = 21,591,196.59/4,770.68
  6. Step 6: Final answer
    x = 4,525.81

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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.