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Finding the Fourth Proportional to 4,207.04, 5,805.44 and 2,344

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Solution

The fourth proportional to 4,207.04, 5,805.44 and 2,344 is: 3,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.04 : 5,805.44 = 2,344 : x
  2. Step 2: Convert to fraction form
    4,207.04/5,805.44 = 2,344/x
  3. Step 3: Cross multiply
    4,207.04x = 5,805.44 × 2,344
  4. Step 4: Simplify right side
    4,207.04x = 13,607,951.36
  5. Step 5: Solve for x
    x = 13,607,951.36/4,207.04
  6. Step 6: Final answer
    x = 3,234.57

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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.