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Finding the Fourth Proportional to 3,666.01, 5,059.80 and 2,471

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Solution

The fourth proportional to 3,666.01, 5,059.80 and 2,471 is: 3,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.01 : 5,059.80 = 2,471 : x
  2. Step 2: Convert to fraction form
    3,666.01/5,059.80 = 2,471/x
  3. Step 3: Cross multiply
    3,666.01x = 5,059.80 × 2,471
  4. Step 4: Simplify right side
    3,666.01x = 12,502,765.80
  5. Step 5: Solve for x
    x = 12,502,765.80/3,666.01
  6. Step 6: Final answer
    x = 3,410.46

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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.