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Finding the Fourth Proportional to 5,918.35, 8,142.16 and 5,754.33

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Solution

The fourth proportional to 5,918.35, 8,142.16 and 5,754.33 is: 7,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.35 : 8,142.16 = 5,754.33 : x
  2. Step 2: Convert to fraction form
    5,918.35/8,142.16 = 5,754.33/x
  3. Step 3: Cross multiply
    5,918.35x = 8,142.16 × 5,754.33
  4. Step 4: Simplify right side
    5,918.35x = 46,852,675.55
  5. Step 5: Solve for x
    x = 46,852,675.55/5,918.35
  6. Step 6: Final answer
    x = 7,916.51

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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.