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Finding the Fourth Proportional to 3,478.64, 5,218.44 and 2,018.48

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Solution

The fourth proportional to 3,478.64, 5,218.44 and 2,018.48 is: 3,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.64 : 5,218.44 = 2,018.48 : x
  2. Step 2: Convert to fraction form
    3,478.64/5,218.44 = 2,018.48/x
  3. Step 3: Cross multiply
    3,478.64x = 5,218.44 × 2,018.48
  4. Step 4: Simplify right side
    3,478.64x = 10,533,316.77
  5. Step 5: Solve for x
    x = 10,533,316.77/3,478.64
  6. Step 6: Final answer
    x = 3,028.00

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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.