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Finding the Fourth Proportional to 4,965.48, 6,802.76 and 4,778.69

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Solution

The fourth proportional to 4,965.48, 6,802.76 and 4,778.69 is: 6,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.48 : 6,802.76 = 4,778.69 : x
  2. Step 2: Convert to fraction form
    4,965.48/6,802.76 = 4,778.69/x
  3. Step 3: Cross multiply
    4,965.48x = 6,802.76 × 4,778.69
  4. Step 4: Simplify right side
    4,965.48x = 32,508,259.12
  5. Step 5: Solve for x
    x = 32,508,259.12/4,965.48
  6. Step 6: Final answer
    x = 6,546.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.