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Finding the Fourth Proportional to 3,384.88, 5,076.62 and 1,304.17

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Solution

The fourth proportional to 3,384.88, 5,076.62 and 1,304.17 is: 1,955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.88 : 5,076.62 = 1,304.17 : x
  2. Step 2: Convert to fraction form
    3,384.88/5,076.62 = 1,304.17/x
  3. Step 3: Cross multiply
    3,384.88x = 5,076.62 × 1,304.17
  4. Step 4: Simplify right side
    3,384.88x = 6,620,775.51
  5. Step 5: Solve for x
    x = 6,620,775.51/3,384.88
  6. Step 6: Final answer
    x = 1,955.99

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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.