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Finding the Fourth Proportional to 4,600.17, 6,354.64 and 4,429.49

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Solution

The fourth proportional to 4,600.17, 6,354.64 and 4,429.49 is: 6,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.17 : 6,354.64 = 4,429.49 : x
  2. Step 2: Convert to fraction form
    4,600.17/6,354.64 = 4,429.49/x
  3. Step 3: Cross multiply
    4,600.17x = 6,354.64 × 4,429.49
  4. Step 4: Simplify right side
    4,600.17x = 28,147,814.33
  5. Step 5: Solve for x
    x = 28,147,814.33/4,600.17
  6. Step 6: Final answer
    x = 6,118.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.