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Finding the Fourth Proportional to 3,461.42, 4,776.76 and 2,135.89

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Solution

The fourth proportional to 3,461.42, 4,776.76 and 2,135.89 is: 2,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.42 : 4,776.76 = 2,135.89 : x
  2. Step 2: Convert to fraction form
    3,461.42/4,776.76 = 2,135.89/x
  3. Step 3: Cross multiply
    3,461.42x = 4,776.76 × 2,135.89
  4. Step 4: Simplify right side
    3,461.42x = 10,202,633.92
  5. Step 5: Solve for x
    x = 10,202,633.92/3,461.42
  6. Step 6: Final answer
    x = 2,947.53

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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.