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Finding the Fourth Proportional to 3,486.69, 4,782.13 and 3,093.03

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Solution

The fourth proportional to 3,486.69, 4,782.13 and 3,093.03 is: 4,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.69 : 4,782.13 = 3,093.03 : x
  2. Step 2: Convert to fraction form
    3,486.69/4,782.13 = 3,093.03/x
  3. Step 3: Cross multiply
    3,486.69x = 4,782.13 × 3,093.03
  4. Step 4: Simplify right side
    3,486.69x = 14,791,275.42
  5. Step 5: Solve for x
    x = 14,791,275.42/3,486.69
  6. Step 6: Final answer
    x = 4,242.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.