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Finding the Fourth Proportional to 3,574.73, 4,934.12 and 2,083.12

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Solution

The fourth proportional to 3,574.73, 4,934.12 and 2,083.12 is: 2,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.73 : 4,934.12 = 2,083.12 : x
  2. Step 2: Convert to fraction form
    3,574.73/4,934.12 = 2,083.12/x
  3. Step 3: Cross multiply
    3,574.73x = 4,934.12 × 2,083.12
  4. Step 4: Simplify right side
    3,574.73x = 10,278,341.30
  5. Step 5: Solve for x
    x = 10,278,341.30/3,574.73
  6. Step 6: Final answer
    x = 2,875.28

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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.