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Finding the Fourth Proportional to 4,876.81, 6,729.95 and 2,638.67

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Solution

The fourth proportional to 4,876.81, 6,729.95 and 2,638.67 is: 3,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.81 : 6,729.95 = 2,638.67 : x
  2. Step 2: Convert to fraction form
    4,876.81/6,729.95 = 2,638.67/x
  3. Step 3: Cross multiply
    4,876.81x = 6,729.95 × 2,638.67
  4. Step 4: Simplify right side
    4,876.81x = 17,758,090.11
  5. Step 5: Solve for x
    x = 17,758,090.11/4,876.81
  6. Step 6: Final answer
    x = 3,641.34

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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.