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Finding the Fourth Proportional to 3,440.28, 5,159.75 and 974.51

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Solution

The fourth proportional to 3,440.28, 5,159.75 and 974.51 is: 1,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.28 : 5,159.75 = 974.51 : x
  2. Step 2: Convert to fraction form
    3,440.28/5,159.75 = 974.51/x
  3. Step 3: Cross multiply
    3,440.28x = 5,159.75 × 974.51
  4. Step 4: Simplify right side
    3,440.28x = 5,028,197.30
  5. Step 5: Solve for x
    x = 5,028,197.30/3,440.28
  6. Step 6: Final answer
    x = 1,461.57

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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.