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Finding the Fourth Proportional to 4,664.69, 6,429.16 and 3,403.67

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Solution

The fourth proportional to 4,664.69, 6,429.16 and 3,403.67 is: 4,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.69 : 6,429.16 = 3,403.67 : x
  2. Step 2: Convert to fraction form
    4,664.69/6,429.16 = 3,403.67/x
  3. Step 3: Cross multiply
    4,664.69x = 6,429.16 × 3,403.67
  4. Step 4: Simplify right side
    4,664.69x = 21,882,739.02
  5. Step 5: Solve for x
    x = 21,882,739.02/4,664.69
  6. Step 6: Final answer
    x = 4,691.15

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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.