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Finding the Fourth Proportional to 4,433.69, 6,658.02 and 4,257.11

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Solution

The fourth proportional to 4,433.69, 6,658.02 and 4,257.11 is: 6,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.69 : 6,658.02 = 4,257.11 : x
  2. Step 2: Convert to fraction form
    4,433.69/6,658.02 = 4,257.11/x
  3. Step 3: Cross multiply
    4,433.69x = 6,658.02 × 4,257.11
  4. Step 4: Simplify right side
    4,433.69x = 28,343,890.23
  5. Step 5: Solve for x
    x = 28,343,890.23/4,433.69
  6. Step 6: Final answer
    x = 6,392.85

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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.