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Finding the Fourth Proportional to 3,529.47, 5,300.78 and 3,107.46

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Solution

The fourth proportional to 3,529.47, 5,300.78 and 3,107.46 is: 4,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.47 : 5,300.78 = 3,107.46 : x
  2. Step 2: Convert to fraction form
    3,529.47/5,300.78 = 3,107.46/x
  3. Step 3: Cross multiply
    3,529.47x = 5,300.78 × 3,107.46
  4. Step 4: Simplify right side
    3,529.47x = 16,471,976.47
  5. Step 5: Solve for x
    x = 16,471,976.47/3,529.47
  6. Step 6: Final answer
    x = 4,666.99

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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.