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Finding the Fourth Proportional to 3,674.54, 5,513.16 and 1,334.45

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Solution

The fourth proportional to 3,674.54, 5,513.16 and 1,334.45 is: 2,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.54 : 5,513.16 = 1,334.45 : x
  2. Step 2: Convert to fraction form
    3,674.54/5,513.16 = 1,334.45/x
  3. Step 3: Cross multiply
    3,674.54x = 5,513.16 × 1,334.45
  4. Step 4: Simplify right side
    3,674.54x = 7,357,036.36
  5. Step 5: Solve for x
    x = 7,357,036.36/3,674.54
  6. Step 6: Final answer
    x = 2,002.17

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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.