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Finding the Fourth Proportional to 5,555.84, 7,666.38 and 3,164.94

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Solution

The fourth proportional to 5,555.84, 7,666.38 and 3,164.94 is: 4,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.84 : 7,666.38 = 3,164.94 : x
  2. Step 2: Convert to fraction form
    5,555.84/7,666.38 = 3,164.94/x
  3. Step 3: Cross multiply
    5,555.84x = 7,666.38 × 3,164.94
  4. Step 4: Simplify right side
    5,555.84x = 24,263,632.72
  5. Step 5: Solve for x
    x = 24,263,632.72/5,555.84
  6. Step 6: Final answer
    x = 4,367.23

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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.