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Finding the Fourth Proportional to 5,864.30, 8,040.77 and 5,790.49

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Solution

The fourth proportional to 5,864.30, 8,040.77 and 5,790.49 is: 7,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.30 : 8,040.77 = 5,790.49 : x
  2. Step 2: Convert to fraction form
    5,864.30/8,040.77 = 5,790.49/x
  3. Step 3: Cross multiply
    5,864.30x = 8,040.77 × 5,790.49
  4. Step 4: Simplify right side
    5,864.30x = 46,559,970.94
  5. Step 5: Solve for x
    x = 46,559,970.94/5,864.30
  6. Step 6: Final answer
    x = 7,939.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.