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Finding the Fourth Proportional to 3,457.89, 5,188.46 and 1,726.52

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Solution

The fourth proportional to 3,457.89, 5,188.46 and 1,726.52 is: 2,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.89 : 5,188.46 = 1,726.52 : x
  2. Step 2: Convert to fraction form
    3,457.89/5,188.46 = 1,726.52/x
  3. Step 3: Cross multiply
    3,457.89x = 5,188.46 × 1,726.52
  4. Step 4: Simplify right side
    3,457.89x = 8,957,945.38
  5. Step 5: Solve for x
    x = 8,957,945.38/3,457.89
  6. Step 6: Final answer
    x = 2,590.58

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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.