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Finding the Fourth Proportional to 5,205.45, 7,798.46 and 3,475.29

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Solution

The fourth proportional to 5,205.45, 7,798.46 and 3,475.29 is: 5,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.45 : 7,798.46 = 3,475.29 : x
  2. Step 2: Convert to fraction form
    5,205.45/7,798.46 = 3,475.29/x
  3. Step 3: Cross multiply
    5,205.45x = 7,798.46 × 3,475.29
  4. Step 4: Simplify right side
    5,205.45x = 27,101,892.68
  5. Step 5: Solve for x
    x = 27,101,892.68/5,205.45
  6. Step 6: Final answer
    x = 5,206.45

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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.