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Finding the Fourth Proportional to 3,457.69, 5,174.88 and 2,534.83

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Solution

The fourth proportional to 3,457.69, 5,174.88 and 2,534.83 is: 3,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 5,174.88 = 2,534.83 : x
  2. Step 2: Convert to fraction form
    3,457.69/5,174.88 = 2,534.83/x
  3. Step 3: Cross multiply
    3,457.69x = 5,174.88 × 2,534.83
  4. Step 4: Simplify right side
    3,457.69x = 13,117,441.07
  5. Step 5: Solve for x
    x = 13,117,441.07/3,457.69
  6. Step 6: Final answer
    x = 3,793.70

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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.