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Finding the Fourth Proportional to 3,546.51, 5,321.78 and 3,356.49

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Solution

The fourth proportional to 3,546.51, 5,321.78 and 3,356.49 is: 5,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.51 : 5,321.78 = 3,356.49 : x
  2. Step 2: Convert to fraction form
    3,546.51/5,321.78 = 3,356.49/x
  3. Step 3: Cross multiply
    3,546.51x = 5,321.78 × 3,356.49
  4. Step 4: Simplify right side
    3,546.51x = 17,862,501.35
  5. Step 5: Solve for x
    x = 17,862,501.35/3,546.51
  6. Step 6: Final answer
    x = 5,036.64

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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.