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Finding the Fourth Proportional to 3,497.66, 5,241.54 and 1,938.38

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Solution

The fourth proportional to 3,497.66, 5,241.54 and 1,938.38 is: 2,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.66 : 5,241.54 = 1,938.38 : x
  2. Step 2: Convert to fraction form
    3,497.66/5,241.54 = 1,938.38/x
  3. Step 3: Cross multiply
    3,497.66x = 5,241.54 × 1,938.38
  4. Step 4: Simplify right side
    3,497.66x = 10,160,070.10
  5. Step 5: Solve for x
    x = 10,160,070.10/3,497.66
  6. Step 6: Final answer
    x = 2,904.82

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Why These Related Problems?

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