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Finding the Fourth Proportional to 4,339.12, 5,988.12 and 3,406

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Solution

The fourth proportional to 4,339.12, 5,988.12 and 3,406 is: 4,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.12 : 5,988.12 = 3,406 : x
  2. Step 2: Convert to fraction form
    4,339.12/5,988.12 = 3,406/x
  3. Step 3: Cross multiply
    4,339.12x = 5,988.12 × 3,406
  4. Step 4: Simplify right side
    4,339.12x = 20,395,536.72
  5. Step 5: Solve for x
    x = 20,395,536.72/4,339.12
  6. Step 6: Final answer
    x = 4,700.39

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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.