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Finding the Fourth Proportional to 5,604.58, 8,406.33 and 1,709.02

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Solution

The fourth proportional to 5,604.58, 8,406.33 and 1,709.02 is: 2,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.58 : 8,406.33 = 1,709.02 : x
  2. Step 2: Convert to fraction form
    5,604.58/8,406.33 = 1,709.02/x
  3. Step 3: Cross multiply
    5,604.58x = 8,406.33 × 1,709.02
  4. Step 4: Simplify right side
    5,604.58x = 14,366,586.10
  5. Step 5: Solve for x
    x = 14,366,586.10/5,604.58
  6. Step 6: Final answer
    x = 2,563.37

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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.