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Finding the Fourth Proportional to 5,148.43, 7,704.20 and 4,457.49

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Solution

The fourth proportional to 5,148.43, 7,704.20 and 4,457.49 is: 6,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.43 : 7,704.20 = 4,457.49 : x
  2. Step 2: Convert to fraction form
    5,148.43/7,704.20 = 4,457.49/x
  3. Step 3: Cross multiply
    5,148.43x = 7,704.20 × 4,457.49
  4. Step 4: Simplify right side
    5,148.43x = 34,341,351.64
  5. Step 5: Solve for x
    x = 34,341,351.64/5,148.43
  6. Step 6: Final answer
    x = 6,670.25

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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.