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Finding the Fourth Proportional to 5,935.29, 8,193.47 and 3,840.09

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Solution

The fourth proportional to 5,935.29, 8,193.47 and 3,840.09 is: 5,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.29 : 8,193.47 = 3,840.09 : x
  2. Step 2: Convert to fraction form
    5,935.29/8,193.47 = 3,840.09/x
  3. Step 3: Cross multiply
    5,935.29x = 8,193.47 × 3,840.09
  4. Step 4: Simplify right side
    5,935.29x = 31,463,643.01
  5. Step 5: Solve for x
    x = 31,463,643.01/5,935.29
  6. Step 6: Final answer
    x = 5,301.11

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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.