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Finding the Fourth Proportional to 5,498.40, 8,234.83 and 5,457.42

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Solution

The fourth proportional to 5,498.40, 8,234.83 and 5,457.42 is: 8,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.40 : 8,234.83 = 5,457.42 : x
  2. Step 2: Convert to fraction form
    5,498.40/8,234.83 = 5,457.42/x
  3. Step 3: Cross multiply
    5,498.40x = 8,234.83 × 5,457.42
  4. Step 4: Simplify right side
    5,498.40x = 44,940,925.94
  5. Step 5: Solve for x
    x = 44,940,925.94/5,498.40
  6. Step 6: Final answer
    x = 8,173.46

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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.