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Finding the Fourth Proportional to 4,328.19, 5,972 and 2,755.71

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Solution

The fourth proportional to 4,328.19, 5,972 and 2,755.71 is: 3,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.19 : 5,972 = 2,755.71 : x
  2. Step 2: Convert to fraction form
    4,328.19/5,972 = 2,755.71/x
  3. Step 3: Cross multiply
    4,328.19x = 5,972 × 2,755.71
  4. Step 4: Simplify right side
    4,328.19x = 16,457,100.12
  5. Step 5: Solve for x
    x = 16,457,100.12/4,328.19
  6. Step 6: Final answer
    x = 3,802.31

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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.