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Finding the Fourth Proportional to 4,095, 5,652.09 and 2,327.58

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Solution

The fourth proportional to 4,095, 5,652.09 and 2,327.58 is: 3,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095 : 5,652.09 = 2,327.58 : x
  2. Step 2: Convert to fraction form
    4,095/5,652.09 = 2,327.58/x
  3. Step 3: Cross multiply
    4,095x = 5,652.09 × 2,327.58
  4. Step 4: Simplify right side
    4,095x = 13,155,691.64
  5. Step 5: Solve for x
    x = 13,155,691.64/4,095
  6. Step 6: Final answer
    x = 3,212.62

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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.