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Finding the Fourth Proportional to 3,521.68, 5,284.79 and 1,674.88

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Solution

The fourth proportional to 3,521.68, 5,284.79 and 1,674.88 is: 2,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.68 : 5,284.79 = 1,674.88 : x
  2. Step 2: Convert to fraction form
    3,521.68/5,284.79 = 1,674.88/x
  3. Step 3: Cross multiply
    3,521.68x = 5,284.79 × 1,674.88
  4. Step 4: Simplify right side
    3,521.68x = 8,851,383.19
  5. Step 5: Solve for x
    x = 8,851,383.19/3,521.68
  6. Step 6: Final answer
    x = 2,513.40

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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.