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Finding the Fourth Proportional to 3,529.06, 5,294.13 and 1,063.56

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Solution

The fourth proportional to 3,529.06, 5,294.13 and 1,063.56 is: 1,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.06 : 5,294.13 = 1,063.56 : x
  2. Step 2: Convert to fraction form
    3,529.06/5,294.13 = 1,063.56/x
  3. Step 3: Cross multiply
    3,529.06x = 5,294.13 × 1,063.56
  4. Step 4: Simplify right side
    3,529.06x = 5,630,624.90
  5. Step 5: Solve for x
    x = 5,630,624.90/3,529.06
  6. Step 6: Final answer
    x = 1,595.50

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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.