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Finding the Fourth Proportional to 4,742.94, 6,542.19 and 2,879.94

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Solution

The fourth proportional to 4,742.94, 6,542.19 and 2,879.94 is: 3,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.94 : 6,542.19 = 2,879.94 : x
  2. Step 2: Convert to fraction form
    4,742.94/6,542.19 = 2,879.94/x
  3. Step 3: Cross multiply
    4,742.94x = 6,542.19 × 2,879.94
  4. Step 4: Simplify right side
    4,742.94x = 18,841,114.67
  5. Step 5: Solve for x
    x = 18,841,114.67/4,742.94
  6. Step 6: Final answer
    x = 3,972.45

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1.5x scale

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.