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Finding the Fourth Proportional to 3,805.90, 5,252.16 and 2,127.40

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Solution

The fourth proportional to 3,805.90, 5,252.16 and 2,127.40 is: 2,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.90 : 5,252.16 = 2,127.40 : x
  2. Step 2: Convert to fraction form
    3,805.90/5,252.16 = 2,127.40/x
  3. Step 3: Cross multiply
    3,805.90x = 5,252.16 × 2,127.40
  4. Step 4: Simplify right side
    3,805.90x = 11,173,445.18
  5. Step 5: Solve for x
    x = 11,173,445.18/3,805.90
  6. Step 6: Final answer
    x = 2,935.82

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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.