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Finding the Fourth Proportional to 3,875.06, 5,348.78 and 3,676.69

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Solution

The fourth proportional to 3,875.06, 5,348.78 and 3,676.69 is: 5,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.06 : 5,348.78 = 3,676.69 : x
  2. Step 2: Convert to fraction form
    3,875.06/5,348.78 = 3,676.69/x
  3. Step 3: Cross multiply
    3,875.06x = 5,348.78 × 3,676.69
  4. Step 4: Simplify right side
    3,875.06x = 19,665,774.18
  5. Step 5: Solve for x
    x = 19,665,774.18/3,875.06
  6. Step 6: Final answer
    x = 5,074.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.