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Finding the Fourth Proportional to 3,053.90, 4,213.62 and 2,113.49

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Solution

The fourth proportional to 3,053.90, 4,213.62 and 2,113.49 is: 2,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.90 : 4,213.62 = 2,113.49 : x
  2. Step 2: Convert to fraction form
    3,053.90/4,213.62 = 2,113.49/x
  3. Step 3: Cross multiply
    3,053.90x = 4,213.62 × 2,113.49
  4. Step 4: Simplify right side
    3,053.90x = 8,905,454.27
  5. Step 5: Solve for x
    x = 8,905,454.27/3,053.90
  6. Step 6: Final answer
    x = 2,916.09

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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.