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Finding the Fourth Proportional to 5,776.57, 7,968.49 and 3,418.26

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Solution

The fourth proportional to 5,776.57, 7,968.49 and 3,418.26 is: 4,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.57 : 7,968.49 = 3,418.26 : x
  2. Step 2: Convert to fraction form
    5,776.57/7,968.49 = 3,418.26/x
  3. Step 3: Cross multiply
    5,776.57x = 7,968.49 × 3,418.26
  4. Step 4: Simplify right side
    5,776.57x = 27,238,370.63
  5. Step 5: Solve for x
    x = 27,238,370.63/5,776.57
  6. Step 6: Final answer
    x = 4,715.32

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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.