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Finding the Fourth Proportional to 3,589.13, 5,383.08 and 956.67

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Solution

The fourth proportional to 3,589.13, 5,383.08 and 956.67 is: 1,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.13 : 5,383.08 = 956.67 : x
  2. Step 2: Convert to fraction form
    3,589.13/5,383.08 = 956.67/x
  3. Step 3: Cross multiply
    3,589.13x = 5,383.08 × 956.67
  4. Step 4: Simplify right side
    3,589.13x = 5,149,831.14
  5. Step 5: Solve for x
    x = 5,149,831.14/3,589.13
  6. Step 6: Final answer
    x = 1,434.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.