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Finding the Fourth Proportional to 4,439.67, 6,658.14 and 1,842

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Solution

The fourth proportional to 4,439.67, 6,658.14 and 1,842 is: 2,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439.67 : 6,658.14 = 1,842 : x
  2. Step 2: Convert to fraction form
    4,439.67/6,658.14 = 1,842/x
  3. Step 3: Cross multiply
    4,439.67x = 6,658.14 × 1,842
  4. Step 4: Simplify right side
    4,439.67x = 12,264,293.88
  5. Step 5: Solve for x
    x = 12,264,293.88/4,439.67
  6. Step 6: Final answer
    x = 2,762.43

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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.