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Finding the Fourth Proportional to 4,304.94, 6,466.05 and 3,762.78

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Solution

The fourth proportional to 4,304.94, 6,466.05 and 3,762.78 is: 5,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.94 : 6,466.05 = 3,762.78 : x
  2. Step 2: Convert to fraction form
    4,304.94/6,466.05 = 3,762.78/x
  3. Step 3: Cross multiply
    4,304.94x = 6,466.05 × 3,762.78
  4. Step 4: Simplify right side
    4,304.94x = 24,330,323.62
  5. Step 5: Solve for x
    x = 24,330,323.62/4,304.94
  6. Step 6: Final answer
    x = 5,651.72

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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.