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Finding the Fourth Proportional to 3,881.61, 5,356.64 and 2,113.22

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Solution

The fourth proportional to 3,881.61, 5,356.64 and 2,113.22 is: 2,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.61 : 5,356.64 = 2,113.22 : x
  2. Step 2: Convert to fraction form
    3,881.61/5,356.64 = 2,113.22/x
  3. Step 3: Cross multiply
    3,881.61x = 5,356.64 × 2,113.22
  4. Step 4: Simplify right side
    3,881.61x = 11,319,721.43
  5. Step 5: Solve for x
    x = 11,319,721.43/3,881.61
  6. Step 6: Final answer
    x = 2,916.24

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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.