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Finding the Fourth Proportional to 4,411, 6,086.04 and 3,230

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Solution

The fourth proportional to 4,411, 6,086.04 and 3,230 is: 4,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411 : 6,086.04 = 3,230 : x
  2. Step 2: Convert to fraction form
    4,411/6,086.04 = 3,230/x
  3. Step 3: Cross multiply
    4,411x = 6,086.04 × 3,230
  4. Step 4: Simplify right side
    4,411x = 19,657,909.20
  5. Step 5: Solve for x
    x = 19,657,909.20/4,411
  6. Step 6: Final answer
    x = 4,456.57

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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.