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Finding the Fourth Proportional to 4,662.90, 7,002.45 and 4,517.10

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Solution

The fourth proportional to 4,662.90, 7,002.45 and 4,517.10 is: 6,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.90 : 7,002.45 = 4,517.10 : x
  2. Step 2: Convert to fraction form
    4,662.90/7,002.45 = 4,517.10/x
  3. Step 3: Cross multiply
    4,662.90x = 7,002.45 × 4,517.10
  4. Step 4: Simplify right side
    4,662.90x = 31,630,766.90
  5. Step 5: Solve for x
    x = 31,630,766.90/4,662.90
  6. Step 6: Final answer
    x = 6,783.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.