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Finding the Fourth Proportional to 4,170.29, 5,755.01 and 2,307.29

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Solution

The fourth proportional to 4,170.29, 5,755.01 and 2,307.29 is: 3,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.29 : 5,755.01 = 2,307.29 : x
  2. Step 2: Convert to fraction form
    4,170.29/5,755.01 = 2,307.29/x
  3. Step 3: Cross multiply
    4,170.29x = 5,755.01 × 2,307.29
  4. Step 4: Simplify right side
    4,170.29x = 13,278,436.71
  5. Step 5: Solve for x
    x = 13,278,436.71/4,170.29
  6. Step 6: Final answer
    x = 3,184.06

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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.