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Finding the Fourth Proportional to 5,208.84, 7,769.79 and 4,716.36

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Solution

The fourth proportional to 5,208.84, 7,769.79 and 4,716.36 is: 7,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.84 : 7,769.79 = 4,716.36 : x
  2. Step 2: Convert to fraction form
    5,208.84/7,769.79 = 4,716.36/x
  3. Step 3: Cross multiply
    5,208.84x = 7,769.79 × 4,716.36
  4. Step 4: Simplify right side
    5,208.84x = 36,645,126.76
  5. Step 5: Solve for x
    x = 36,645,126.76/5,208.84
  6. Step 6: Final answer
    x = 7,035.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.