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Finding the Fourth Proportional to 5,794.61, 7,993.62 and 3,666.57

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Solution

The fourth proportional to 5,794.61, 7,993.62 and 3,666.57 is: 5,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.61 : 7,993.62 = 3,666.57 : x
  2. Step 2: Convert to fraction form
    5,794.61/7,993.62 = 3,666.57/x
  3. Step 3: Cross multiply
    5,794.61x = 7,993.62 × 3,666.57
  4. Step 4: Simplify right side
    5,794.61x = 29,309,137.31
  5. Step 5: Solve for x
    x = 29,309,137.31/5,794.61
  6. Step 6: Final answer
    x = 5,058.00

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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.