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Finding the Fourth Proportional to 3,059, 4,588.02 and 2,542.32

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Solution

The fourth proportional to 3,059, 4,588.02 and 2,542.32 is: 3,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059 : 4,588.02 = 2,542.32 : x
  2. Step 2: Convert to fraction form
    3,059/4,588.02 = 2,542.32/x
  3. Step 3: Cross multiply
    3,059x = 4,588.02 × 2,542.32
  4. Step 4: Simplify right side
    3,059x = 11,664,215.01
  5. Step 5: Solve for x
    x = 11,664,215.01/3,059
  6. Step 6: Final answer
    x = 3,813.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.