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Finding the Fourth Proportional to 4,180.67, 6,223.21 and 4,118.40

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Solution

The fourth proportional to 4,180.67, 6,223.21 and 4,118.40 is: 6,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.67 : 6,223.21 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    4,180.67/6,223.21 = 4,118.40/x
  3. Step 3: Cross multiply
    4,180.67x = 6,223.21 × 4,118.40
  4. Step 4: Simplify right side
    4,180.67x = 25,629,668.06
  5. Step 5: Solve for x
    x = 25,629,668.06/4,180.67
  6. Step 6: Final answer
    x = 6,130.52

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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.