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Finding the Fourth Proportional to 4,242.75, 6,364.31 and 1,164.75

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Solution

The fourth proportional to 4,242.75, 6,364.31 and 1,164.75 is: 1,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.75 : 6,364.31 = 1,164.75 : x
  2. Step 2: Convert to fraction form
    4,242.75/6,364.31 = 1,164.75/x
  3. Step 3: Cross multiply
    4,242.75x = 6,364.31 × 1,164.75
  4. Step 4: Simplify right side
    4,242.75x = 7,412,830.07
  5. Step 5: Solve for x
    x = 7,412,830.07/4,242.75
  6. Step 6: Final answer
    x = 1,747.18

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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.