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Finding the Fourth Proportional to 3,528.82, 5,291.88 and 1,678.51

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Solution

The fourth proportional to 3,528.82, 5,291.88 and 1,678.51 is: 2,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.82 : 5,291.88 = 1,678.51 : x
  2. Step 2: Convert to fraction form
    3,528.82/5,291.88 = 1,678.51/x
  3. Step 3: Cross multiply
    3,528.82x = 5,291.88 × 1,678.51
  4. Step 4: Simplify right side
    3,528.82x = 8,882,473.50
  5. Step 5: Solve for x
    x = 8,882,473.50/3,528.82
  6. Step 6: Final answer
    x = 2,517.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.