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Finding the Fourth Proportional to 3,519.88, 4,857.18 and 1,948

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Solution

The fourth proportional to 3,519.88, 4,857.18 and 1,948 is: 2,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.88 : 4,857.18 = 1,948 : x
  2. Step 2: Convert to fraction form
    3,519.88/4,857.18 = 1,948/x
  3. Step 3: Cross multiply
    3,519.88x = 4,857.18 × 1,948
  4. Step 4: Simplify right side
    3,519.88x = 9,461,786.64
  5. Step 5: Solve for x
    x = 9,461,786.64/3,519.88
  6. Step 6: Final answer
    x = 2,688.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.