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Finding the Fourth Proportional to 5,734.62, 7,916.40 and 4,174.56

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Solution

The fourth proportional to 5,734.62, 7,916.40 and 4,174.56 is: 5,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.62 : 7,916.40 = 4,174.56 : x
  2. Step 2: Convert to fraction form
    5,734.62/7,916.40 = 4,174.56/x
  3. Step 3: Cross multiply
    5,734.62x = 7,916.40 × 4,174.56
  4. Step 4: Simplify right side
    5,734.62x = 33,047,486.78
  5. Step 5: Solve for x
    x = 33,047,486.78/5,734.62
  6. Step 6: Final answer
    x = 5,762.80

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1.5x scale

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.