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Finding the Fourth Proportional to 4,683.90, 6,466.95 and 4,184.94

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Solution

The fourth proportional to 4,683.90, 6,466.95 and 4,184.94 is: 5,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.90 : 6,466.95 = 4,184.94 : x
  2. Step 2: Convert to fraction form
    4,683.90/6,466.95 = 4,184.94/x
  3. Step 3: Cross multiply
    4,683.90x = 6,466.95 × 4,184.94
  4. Step 4: Simplify right side
    4,683.90x = 27,063,797.73
  5. Step 5: Solve for x
    x = 27,063,797.73/4,683.90
  6. Step 6: Final answer
    x = 5,778.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.