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Finding the Fourth Proportional to 3,497.33, 5,242.89 and 1,304.57

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Solution

The fourth proportional to 3,497.33, 5,242.89 and 1,304.57 is: 1,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.33 : 5,242.89 = 1,304.57 : x
  2. Step 2: Convert to fraction form
    3,497.33/5,242.89 = 1,304.57/x
  3. Step 3: Cross multiply
    3,497.33x = 5,242.89 × 1,304.57
  4. Step 4: Simplify right side
    3,497.33x = 6,839,717.01
  5. Step 5: Solve for x
    x = 6,839,717.01/3,497.33
  6. Step 6: Final answer
    x = 1,955.70

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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.