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Finding the Fourth Proportional to 4,101.60, 5,660.24 and 2,333.24

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Solution

The fourth proportional to 4,101.60, 5,660.24 and 2,333.24 is: 3,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.60 : 5,660.24 = 2,333.24 : x
  2. Step 2: Convert to fraction form
    4,101.60/5,660.24 = 2,333.24/x
  3. Step 3: Cross multiply
    4,101.60x = 5,660.24 × 2,333.24
  4. Step 4: Simplify right side
    4,101.60x = 13,206,698.38
  5. Step 5: Solve for x
    x = 13,206,698.38/4,101.60
  6. Step 6: Final answer
    x = 3,219.89

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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.