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Finding the Fourth Proportional to 4,472.21, 6,675.61 and 4,146.95

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Solution

The fourth proportional to 4,472.21, 6,675.61 and 4,146.95 is: 6,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.21 : 6,675.61 = 4,146.95 : x
  2. Step 2: Convert to fraction form
    4,472.21/6,675.61 = 4,146.95/x
  3. Step 3: Cross multiply
    4,472.21x = 6,675.61 × 4,146.95
  4. Step 4: Simplify right side
    4,472.21x = 27,683,400.15
  5. Step 5: Solve for x
    x = 27,683,400.15/4,472.21
  6. Step 6: Final answer
    x = 6,190.09

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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.