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Finding the Fourth Proportional to 3,762.72, 5,190.96 and 2,364.96

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Solution

The fourth proportional to 3,762.72, 5,190.96 and 2,364.96 is: 3,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.72 : 5,190.96 = 2,364.96 : x
  2. Step 2: Convert to fraction form
    3,762.72/5,190.96 = 2,364.96/x
  3. Step 3: Cross multiply
    3,762.72x = 5,190.96 × 2,364.96
  4. Step 4: Simplify right side
    3,762.72x = 12,276,412.76
  5. Step 5: Solve for x
    x = 12,276,412.76/3,762.72
  6. Step 6: Final answer
    x = 3,262.64

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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.