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Finding the Fourth Proportional to 6,586.11, 9,088.81 and 3,935.07

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Solution

The fourth proportional to 6,586.11, 9,088.81 and 3,935.07 is: 5,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.11 : 9,088.81 = 3,935.07 : x
  2. Step 2: Convert to fraction form
    6,586.11/9,088.81 = 3,935.07/x
  3. Step 3: Cross multiply
    6,586.11x = 9,088.81 × 3,935.07
  4. Step 4: Simplify right side
    6,586.11x = 35,765,103.57
  5. Step 5: Solve for x
    x = 35,765,103.57/6,586.11
  6. Step 6: Final answer
    x = 5,430.38

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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.