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Finding the Fourth Proportional to 3,457.43, 5,182.39 and 1,700.38

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Solution

The fourth proportional to 3,457.43, 5,182.39 and 1,700.38 is: 2,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.43 : 5,182.39 = 1,700.38 : x
  2. Step 2: Convert to fraction form
    3,457.43/5,182.39 = 1,700.38/x
  3. Step 3: Cross multiply
    3,457.43x = 5,182.39 × 1,700.38
  4. Step 4: Simplify right side
    3,457.43x = 8,812,032.31
  5. Step 5: Solve for x
    x = 8,812,032.31/3,457.43
  6. Step 6: Final answer
    x = 2,548.72

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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.