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Finding the Fourth Proportional to 5,039.74, 6,956.79 and 3,784.42

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Solution

The fourth proportional to 5,039.74, 6,956.79 and 3,784.42 is: 5,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.74 : 6,956.79 = 3,784.42 : x
  2. Step 2: Convert to fraction form
    5,039.74/6,956.79 = 3,784.42/x
  3. Step 3: Cross multiply
    5,039.74x = 6,956.79 × 3,784.42
  4. Step 4: Simplify right side
    5,039.74x = 26,327,415.21
  5. Step 5: Solve for x
    x = 26,327,415.21/5,039.74
  6. Step 6: Final answer
    x = 5,223.96

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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.