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Finding the Fourth Proportional to 3,542.94, 5,298.01 and 2,558.79

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Solution

The fourth proportional to 3,542.94, 5,298.01 and 2,558.79 is: 3,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.94 : 5,298.01 = 2,558.79 : x
  2. Step 2: Convert to fraction form
    3,542.94/5,298.01 = 2,558.79/x
  3. Step 3: Cross multiply
    3,542.94x = 5,298.01 × 2,558.79
  4. Step 4: Simplify right side
    3,542.94x = 13,556,488.61
  5. Step 5: Solve for x
    x = 13,556,488.61/3,542.94
  6. Step 6: Final answer
    x = 3,826.34

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