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Finding the Fourth Proportional to 3,330.66, 4,562.96 and 3,206.02

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Solution

The fourth proportional to 3,330.66, 4,562.96 and 3,206.02 is: 4,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.66 : 4,562.96 = 3,206.02 : x
  2. Step 2: Convert to fraction form
    3,330.66/4,562.96 = 3,206.02/x
  3. Step 3: Cross multiply
    3,330.66x = 4,562.96 × 3,206.02
  4. Step 4: Simplify right side
    3,330.66x = 14,628,941.02
  5. Step 5: Solve for x
    x = 14,628,941.02/3,330.66
  6. Step 6: Final answer
    x = 4,392.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.