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Finding the Fourth Proportional to 5,347.64, 8,021.28 and 1,451.84

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Solution

The fourth proportional to 5,347.64, 8,021.28 and 1,451.84 is: 2,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.64 : 8,021.28 = 1,451.84 : x
  2. Step 2: Convert to fraction form
    5,347.64/8,021.28 = 1,451.84/x
  3. Step 3: Cross multiply
    5,347.64x = 8,021.28 × 1,451.84
  4. Step 4: Simplify right side
    5,347.64x = 11,645,615.16
  5. Step 5: Solve for x
    x = 11,645,615.16/5,347.64
  6. Step 6: Final answer
    x = 2,177.71

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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.