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Finding the Fourth Proportional to 3,447.60, 5,166.60 and 2,563.20

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Solution

The fourth proportional to 3,447.60, 5,166.60 and 2,563.20 is: 3,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.60 : 5,166.60 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    3,447.60/5,166.60 = 2,563.20/x
  3. Step 3: Cross multiply
    3,447.60x = 5,166.60 × 2,563.20
  4. Step 4: Simplify right side
    3,447.60x = 13,243,029.12
  5. Step 5: Solve for x
    x = 13,243,029.12/3,447.60
  6. Step 6: Final answer
    x = 3,841.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.