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Finding the Fourth Proportional to 5,734.75, 7,916.38 and 3,497.43

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Solution

The fourth proportional to 5,734.75, 7,916.38 and 3,497.43 is: 4,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.75 : 7,916.38 = 3,497.43 : x
  2. Step 2: Convert to fraction form
    5,734.75/7,916.38 = 3,497.43/x
  3. Step 3: Cross multiply
    5,734.75x = 7,916.38 × 3,497.43
  4. Step 4: Simplify right side
    5,734.75x = 27,686,980.99
  5. Step 5: Solve for x
    x = 27,686,980.99/5,734.75
  6. Step 6: Final answer
    x = 4,827.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.