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Finding the Fourth Proportional to 5,785.33, 8,676.64 and 1,625.74

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Solution

The fourth proportional to 5,785.33, 8,676.64 and 1,625.74 is: 2,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.33 : 8,676.64 = 1,625.74 : x
  2. Step 2: Convert to fraction form
    5,785.33/8,676.64 = 1,625.74/x
  3. Step 3: Cross multiply
    5,785.33x = 8,676.64 × 1,625.74
  4. Step 4: Simplify right side
    5,785.33x = 14,105,945.63
  5. Step 5: Solve for x
    x = 14,105,945.63/5,785.33
  6. Step 6: Final answer
    x = 2,438.23

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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.