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Finding the Fourth Proportional to 3,530.94, 4,874.94 and 2,272.47

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Solution

The fourth proportional to 3,530.94, 4,874.94 and 2,272.47 is: 3,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.94 : 4,874.94 = 2,272.47 : x
  2. Step 2: Convert to fraction form
    3,530.94/4,874.94 = 2,272.47/x
  3. Step 3: Cross multiply
    3,530.94x = 4,874.94 × 2,272.47
  4. Step 4: Simplify right side
    3,530.94x = 11,078,154.90
  5. Step 5: Solve for x
    x = 11,078,154.90/3,530.94
  6. Step 6: Final answer
    x = 3,137.45

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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.