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Finding the Fourth Proportional to 3,530.70, 5,298.45 and 2,068.30

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Solution

The fourth proportional to 3,530.70, 5,298.45 and 2,068.30 is: 3,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.70 : 5,298.45 = 2,068.30 : x
  2. Step 2: Convert to fraction form
    3,530.70/5,298.45 = 2,068.30/x
  3. Step 3: Cross multiply
    3,530.70x = 5,298.45 × 2,068.30
  4. Step 4: Simplify right side
    3,530.70x = 10,958,784.14
  5. Step 5: Solve for x
    x = 10,958,784.14/3,530.70
  6. Step 6: Final answer
    x = 3,103.86

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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.