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Finding the Fourth Proportional to 4,203.68, 5,799.94 and 2,524.68

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Solution

The fourth proportional to 4,203.68, 5,799.94 and 2,524.68 is: 3,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.68 : 5,799.94 = 2,524.68 : x
  2. Step 2: Convert to fraction form
    4,203.68/5,799.94 = 2,524.68/x
  3. Step 3: Cross multiply
    4,203.68x = 5,799.94 × 2,524.68
  4. Step 4: Simplify right side
    4,203.68x = 14,642,986.21
  5. Step 5: Solve for x
    x = 14,642,986.21/4,203.68
  6. Step 6: Final answer
    x = 3,483.38

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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.