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Finding the Fourth Proportional to 3,461.79, 4,777.38 and 2,135.46

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Solution

The fourth proportional to 3,461.79, 4,777.38 and 2,135.46 is: 2,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.79 : 4,777.38 = 2,135.46 : x
  2. Step 2: Convert to fraction form
    3,461.79/4,777.38 = 2,135.46/x
  3. Step 3: Cross multiply
    3,461.79x = 4,777.38 × 2,135.46
  4. Step 4: Simplify right side
    3,461.79x = 10,201,903.89
  5. Step 5: Solve for x
    x = 10,201,903.89/3,461.79
  6. Step 6: Final answer
    x = 2,947.00

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Why These Related Problems?

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