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Finding the Fourth Proportional to 5,555.02, 7,665.99 and 3,164.74

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Solution

The fourth proportional to 5,555.02, 7,665.99 and 3,164.74 is: 4,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.02 : 7,665.99 = 3,164.74 : x
  2. Step 2: Convert to fraction form
    5,555.02/7,665.99 = 3,164.74/x
  3. Step 3: Cross multiply
    5,555.02x = 7,665.99 × 3,164.74
  4. Step 4: Simplify right side
    5,555.02x = 24,260,865.19
  5. Step 5: Solve for x
    x = 24,260,865.19/5,555.02
  6. Step 6: Final answer
    x = 4,367.38

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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.