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Finding the Fourth Proportional to 5,735.59, 7,916.06 and 3,378.49

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Solution

The fourth proportional to 5,735.59, 7,916.06 and 3,378.49 is: 4,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.59 : 7,916.06 = 3,378.49 : x
  2. Step 2: Convert to fraction form
    5,735.59/7,916.06 = 3,378.49/x
  3. Step 3: Cross multiply
    5,735.59x = 7,916.06 × 3,378.49
  4. Step 4: Simplify right side
    5,735.59x = 26,744,329.55
  5. Step 5: Solve for x
    x = 26,744,329.55/5,735.59
  6. Step 6: Final answer
    x = 4,662.87

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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.