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Finding the Fourth Proportional to 4,500.48, 6,717.44 and 4,180

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Solution

The fourth proportional to 4,500.48, 6,717.44 and 4,180 is: 6,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.48 : 6,717.44 = 4,180 : x
  2. Step 2: Convert to fraction form
    4,500.48/6,717.44 = 4,180/x
  3. Step 3: Cross multiply
    4,500.48x = 6,717.44 × 4,180
  4. Step 4: Simplify right side
    4,500.48x = 28,078,899.20
  5. Step 5: Solve for x
    x = 28,078,899.20/4,500.48
  6. Step 6: Final answer
    x = 6,239.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.