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Finding the Fourth Proportional to 4,776.85, 7,160.42 and 4,423.29

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Solution

The fourth proportional to 4,776.85, 7,160.42 and 4,423.29 is: 6,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.85 : 7,160.42 = 4,423.29 : x
  2. Step 2: Convert to fraction form
    4,776.85/7,160.42 = 4,423.29/x
  3. Step 3: Cross multiply
    4,776.85x = 7,160.42 × 4,423.29
  4. Step 4: Simplify right side
    4,776.85x = 31,672,614.18
  5. Step 5: Solve for x
    x = 31,672,614.18/4,776.85
  6. Step 6: Final answer
    x = 6,630.44

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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.