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Finding the Fourth Proportional to 4,290.50, 6,377.89 and 4,164.38

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Solution

The fourth proportional to 4,290.50, 6,377.89 and 4,164.38 is: 6,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.50 : 6,377.89 = 4,164.38 : x
  2. Step 2: Convert to fraction form
    4,290.50/6,377.89 = 4,164.38/x
  3. Step 3: Cross multiply
    4,290.50x = 6,377.89 × 4,164.38
  4. Step 4: Simplify right side
    4,290.50x = 26,559,946.98
  5. Step 5: Solve for x
    x = 26,559,946.98/4,290.50
  6. Step 6: Final answer
    x = 6,190.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.