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Finding the Fourth Proportional to 4,055.93, 5,595.87 and 3,202.47

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Solution

The fourth proportional to 4,055.93, 5,595.87 and 3,202.47 is: 4,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.93 : 5,595.87 = 3,202.47 : x
  2. Step 2: Convert to fraction form
    4,055.93/5,595.87 = 3,202.47/x
  3. Step 3: Cross multiply
    4,055.93x = 5,595.87 × 3,202.47
  4. Step 4: Simplify right side
    4,055.93x = 17,920,605.80
  5. Step 5: Solve for x
    x = 17,920,605.80/4,055.93
  6. Step 6: Final answer
    x = 4,418.38

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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.