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Finding the Fourth Proportional to 4,459.29, 6,685.29 and 1,684.38

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Solution

The fourth proportional to 4,459.29, 6,685.29 and 1,684.38 is: 2,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.29 : 6,685.29 = 1,684.38 : x
  2. Step 2: Convert to fraction form
    4,459.29/6,685.29 = 1,684.38/x
  3. Step 3: Cross multiply
    4,459.29x = 6,685.29 × 1,684.38
  4. Step 4: Simplify right side
    4,459.29x = 11,260,568.77
  5. Step 5: Solve for x
    x = 11,260,568.77/4,459.29
  6. Step 6: Final answer
    x = 2,525.19

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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.