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Finding the Fourth Proportional to 5,836.71, 8,756.22 and 1,676.75

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Solution

The fourth proportional to 5,836.71, 8,756.22 and 1,676.75 is: 2,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.71 : 8,756.22 = 1,676.75 : x
  2. Step 2: Convert to fraction form
    5,836.71/8,756.22 = 1,676.75/x
  3. Step 3: Cross multiply
    5,836.71x = 8,756.22 × 1,676.75
  4. Step 4: Simplify right side
    5,836.71x = 14,681,948.10
  5. Step 5: Solve for x
    x = 14,681,948.10/5,836.71
  6. Step 6: Final answer
    x = 2,515.45

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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.