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Finding the Fourth Proportional to 8,980.42, 13,471.42 and 2,741.84

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Solution

The fourth proportional to 8,980.42, 13,471.42 and 2,741.84 is: 4,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.42 : 13,471.42 = 2,741.84 : x
  2. Step 2: Convert to fraction form
    8,980.42/13,471.42 = 2,741.84/x
  3. Step 3: Cross multiply
    8,980.42x = 13,471.42 × 2,741.84
  4. Step 4: Simplify right side
    8,980.42x = 36,936,478.21
  5. Step 5: Solve for x
    x = 36,936,478.21/8,980.42
  6. Step 6: Final answer
    x = 4,113.00

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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.