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Finding the Fourth Proportional to 7,574.24, 11,354.70 and 2,954

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Solution

The fourth proportional to 7,574.24, 11,354.70 and 2,954 is: 4,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.24 : 11,354.70 = 2,954 : x
  2. Step 2: Convert to fraction form
    7,574.24/11,354.70 = 2,954/x
  3. Step 3: Cross multiply
    7,574.24x = 11,354.70 × 2,954
  4. Step 4: Simplify right side
    7,574.24x = 33,541,783.80
  5. Step 5: Solve for x
    x = 33,541,783.80/7,574.24
  6. Step 6: Final answer
    x = 4,428.40

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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.