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Finding the Fourth Proportional to 4,103, 5,662.62 and 2,334.88

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Solution

The fourth proportional to 4,103, 5,662.62 and 2,334.88 is: 3,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103 : 5,662.62 = 2,334.88 : x
  2. Step 2: Convert to fraction form
    4,103/5,662.62 = 2,334.88/x
  3. Step 3: Cross multiply
    4,103x = 5,662.62 × 2,334.88
  4. Step 4: Simplify right side
    4,103x = 13,221,538.19
  5. Step 5: Solve for x
    x = 13,221,538.19/4,103
  6. Step 6: Final answer
    x = 3,222.41

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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.