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Finding the Fourth Proportional to 5,664.39, 7,817.03 and 3,426.68

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Solution

The fourth proportional to 5,664.39, 7,817.03 and 3,426.68 is: 4,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.39 : 7,817.03 = 3,426.68 : x
  2. Step 2: Convert to fraction form
    5,664.39/7,817.03 = 3,426.68/x
  3. Step 3: Cross multiply
    5,664.39x = 7,817.03 × 3,426.68
  4. Step 4: Simplify right side
    5,664.39x = 26,786,460.36
  5. Step 5: Solve for x
    x = 26,786,460.36/5,664.39
  6. Step 6: Final answer
    x = 4,728.92

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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.