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Finding the Fourth Proportional to 4,980.96, 7,471.68 and 2,204.64

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Solution

The fourth proportional to 4,980.96, 7,471.68 and 2,204.64 is: 3,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.96 : 7,471.68 = 2,204.64 : x
  2. Step 2: Convert to fraction form
    4,980.96/7,471.68 = 2,204.64/x
  3. Step 3: Cross multiply
    4,980.96x = 7,471.68 × 2,204.64
  4. Step 4: Simplify right side
    4,980.96x = 16,472,364.60
  5. Step 5: Solve for x
    x = 16,472,364.60/4,980.96
  6. Step 6: Final answer
    x = 3,307.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.