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Finding the Fourth Proportional to 5,605.29, 8,405.96 and 1,655.49

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Solution

The fourth proportional to 5,605.29, 8,405.96 and 1,655.49 is: 2,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.29 : 8,405.96 = 1,655.49 : x
  2. Step 2: Convert to fraction form
    5,605.29/8,405.96 = 1,655.49/x
  3. Step 3: Cross multiply
    5,605.29x = 8,405.96 × 1,655.49
  4. Step 4: Simplify right side
    5,605.29x = 13,915,982.72
  5. Step 5: Solve for x
    x = 13,915,982.72/5,605.29
  6. Step 6: Final answer
    x = 2,482.65

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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.