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Finding the Fourth Proportional to 4,842.69, 6,716.87 and 4,645.86

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Solution

The fourth proportional to 4,842.69, 6,716.87 and 4,645.86 is: 6,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.69 : 6,716.87 = 4,645.86 : x
  2. Step 2: Convert to fraction form
    4,842.69/6,716.87 = 4,645.86/x
  3. Step 3: Cross multiply
    4,842.69x = 6,716.87 × 4,645.86
  4. Step 4: Simplify right side
    4,842.69x = 31,205,632.80
  5. Step 5: Solve for x
    x = 31,205,632.80/4,842.69
  6. Step 6: Final answer
    x = 6,443.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.