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Finding the Fourth Proportional to 3,537.54, 4,881.60 and 1,965.60

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Solution

The fourth proportional to 3,537.54, 4,881.60 and 1,965.60 is: 2,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.54 : 4,881.60 = 1,965.60 : x
  2. Step 2: Convert to fraction form
    3,537.54/4,881.60 = 1,965.60/x
  3. Step 3: Cross multiply
    3,537.54x = 4,881.60 × 1,965.60
  4. Step 4: Simplify right side
    3,537.54x = 9,595,272.96
  5. Step 5: Solve for x
    x = 9,595,272.96/3,537.54
  6. Step 6: Final answer
    x = 2,712.41

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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.