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Finding the Fourth Proportional to 5,403.69, 8,104.84 and 1,706.29

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Solution

The fourth proportional to 5,403.69, 8,104.84 and 1,706.29 is: 2,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.69 : 8,104.84 = 1,706.29 : x
  2. Step 2: Convert to fraction form
    5,403.69/8,104.84 = 1,706.29/x
  3. Step 3: Cross multiply
    5,403.69x = 8,104.84 × 1,706.29
  4. Step 4: Simplify right side
    5,403.69x = 13,829,182.92
  5. Step 5: Solve for x
    x = 13,829,182.92/5,403.69
  6. Step 6: Final answer
    x = 2,559.21

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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.