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Finding the Fourth Proportional to 4,907.69, 7,361.87 and 1,397.97

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Solution

The fourth proportional to 4,907.69, 7,361.87 and 1,397.97 is: 2,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.69 : 7,361.87 = 1,397.97 : x
  2. Step 2: Convert to fraction form
    4,907.69/7,361.87 = 1,397.97/x
  3. Step 3: Cross multiply
    4,907.69x = 7,361.87 × 1,397.97
  4. Step 4: Simplify right side
    4,907.69x = 10,291,673.40
  5. Step 5: Solve for x
    x = 10,291,673.40/4,907.69
  6. Step 6: Final answer
    x = 2,097.05

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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.