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Finding the Fourth Proportional to 3,676.12, 5,515.54 and 1,702.69

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Solution

The fourth proportional to 3,676.12, 5,515.54 and 1,702.69 is: 2,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.12 : 5,515.54 = 1,702.69 : x
  2. Step 2: Convert to fraction form
    3,676.12/5,515.54 = 1,702.69/x
  3. Step 3: Cross multiply
    3,676.12x = 5,515.54 × 1,702.69
  4. Step 4: Simplify right side
    3,676.12x = 9,391,236.76
  5. Step 5: Solve for x
    x = 9,391,236.76/3,676.12
  6. Step 6: Final answer
    x = 2,554.66

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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.