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Finding the Fourth Proportional to 5,886.40, 8,831.14 and 2,189.72

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Solution

The fourth proportional to 5,886.40, 8,831.14 and 2,189.72 is: 3,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.40 : 8,831.14 = 2,189.72 : x
  2. Step 2: Convert to fraction form
    5,886.40/8,831.14 = 2,189.72/x
  3. Step 3: Cross multiply
    5,886.40x = 8,831.14 × 2,189.72
  4. Step 4: Simplify right side
    5,886.40x = 19,337,723.88
  5. Step 5: Solve for x
    x = 19,337,723.88/5,886.40
  6. Step 6: Final answer
    x = 3,285.15

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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.