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Finding the Fourth Proportional to 3,478.89, 4,802.18 and 2,153.19

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Solution

The fourth proportional to 3,478.89, 4,802.18 and 2,153.19 is: 2,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.89 : 4,802.18 = 2,153.19 : x
  2. Step 2: Convert to fraction form
    3,478.89/4,802.18 = 2,153.19/x
  3. Step 3: Cross multiply
    3,478.89x = 4,802.18 × 2,153.19
  4. Step 4: Simplify right side
    3,478.89x = 10,339,995.19
  5. Step 5: Solve for x
    x = 10,339,995.19/3,478.89
  6. Step 6: Final answer
    x = 2,972.21

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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.