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Finding the Fourth Proportional to 3,540.74, 5,313.17 and 1,460.36

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Solution

The fourth proportional to 3,540.74, 5,313.17 and 1,460.36 is: 2,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.74 : 5,313.17 = 1,460.36 : x
  2. Step 2: Convert to fraction form
    3,540.74/5,313.17 = 1,460.36/x
  3. Step 3: Cross multiply
    3,540.74x = 5,313.17 × 1,460.36
  4. Step 4: Simplify right side
    3,540.74x = 7,759,146.92
  5. Step 5: Solve for x
    x = 7,759,146.92/3,540.74
  6. Step 6: Final answer
    x = 2,191.39

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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.