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Finding the Fourth Proportional to 3,495.80, 4,827.12 and 3,122.12

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Solution

The fourth proportional to 3,495.80, 4,827.12 and 3,122.12 is: 4,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.80 : 4,827.12 = 3,122.12 : x
  2. Step 2: Convert to fraction form
    3,495.80/4,827.12 = 3,122.12/x
  3. Step 3: Cross multiply
    3,495.80x = 4,827.12 × 3,122.12
  4. Step 4: Simplify right side
    3,495.80x = 15,070,847.89
  5. Step 5: Solve for x
    x = 15,070,847.89/3,495.80
  6. Step 6: Final answer
    x = 4,311.13

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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.