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Finding the Fourth Proportional to 5,083.59, 7,012.65 and 4,194.21

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Solution

The fourth proportional to 5,083.59, 7,012.65 and 4,194.21 is: 5,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.59 : 7,012.65 = 4,194.21 : x
  2. Step 2: Convert to fraction form
    5,083.59/7,012.65 = 4,194.21/x
  3. Step 3: Cross multiply
    5,083.59x = 7,012.65 × 4,194.21
  4. Step 4: Simplify right side
    5,083.59x = 29,412,526.76
  5. Step 5: Solve for x
    x = 29,412,526.76/5,083.59
  6. Step 6: Final answer
    x = 5,785.78

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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.