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Finding the Fourth Proportional to 3,916.84, 5,874 and 3,658

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Solution

The fourth proportional to 3,916.84, 5,874 and 3,658 is: 5,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.84 : 5,874 = 3,658 : x
  2. Step 2: Convert to fraction form
    3,916.84/5,874 = 3,658/x
  3. Step 3: Cross multiply
    3,916.84x = 5,874 × 3,658
  4. Step 4: Simplify right side
    3,916.84x = 21,487,092
  5. Step 5: Solve for x
    x = 21,487,092/3,916.84
  6. Step 6: Final answer
    x = 5,485.82

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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.