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Finding the Fourth Proportional to 3,971.16, 5,963.49 and 3,312.36

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Solution

The fourth proportional to 3,971.16, 5,963.49 and 3,312.36 is: 4,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.16 : 5,963.49 = 3,312.36 : x
  2. Step 2: Convert to fraction form
    3,971.16/5,963.49 = 3,312.36/x
  3. Step 3: Cross multiply
    3,971.16x = 5,963.49 × 3,312.36
  4. Step 4: Simplify right side
    3,971.16x = 19,753,225.74
  5. Step 5: Solve for x
    x = 19,753,225.74/3,971.16
  6. Step 6: Final answer
    x = 4,974.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.