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Finding the Fourth Proportional to 5,148.69, 7,704.57 and 4,457.73

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Solution

The fourth proportional to 5,148.69, 7,704.57 and 4,457.73 is: 6,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.69 : 7,704.57 = 4,457.73 : x
  2. Step 2: Convert to fraction form
    5,148.69/7,704.57 = 4,457.73/x
  3. Step 3: Cross multiply
    5,148.69x = 7,704.57 × 4,457.73
  4. Step 4: Simplify right side
    5,148.69x = 34,344,892.83
  5. Step 5: Solve for x
    x = 34,344,892.83/5,148.69
  6. Step 6: Final answer
    x = 6,670.61

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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.