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Finding the Fourth Proportional to 5,208.78, 7,810.38 and 2,283.66

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Solution

The fourth proportional to 5,208.78, 7,810.38 and 2,283.66 is: 3,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.78 : 7,810.38 = 2,283.66 : x
  2. Step 2: Convert to fraction form
    5,208.78/7,810.38 = 2,283.66/x
  3. Step 3: Cross multiply
    5,208.78x = 7,810.38 × 2,283.66
  4. Step 4: Simplify right side
    5,208.78x = 17,836,252.39
  5. Step 5: Solve for x
    x = 17,836,252.39/5,208.78
  6. Step 6: Final answer
    x = 3,424.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.