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Finding the Fourth Proportional to 4,907.53, 7,361.34 and 1,397.53

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Solution

The fourth proportional to 4,907.53, 7,361.34 and 1,397.53 is: 2,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.53 : 7,361.34 = 1,397.53 : x
  2. Step 2: Convert to fraction form
    4,907.53/7,361.34 = 1,397.53/x
  3. Step 3: Cross multiply
    4,907.53x = 7,361.34 × 1,397.53
  4. Step 4: Simplify right side
    4,907.53x = 10,287,708.40
  5. Step 5: Solve for x
    x = 10,287,708.40/4,907.53
  6. Step 6: Final answer
    x = 2,096.31

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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.