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Finding the Fourth Proportional to 4,907.52, 7,361.66 and 2,946.51

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Solution

The fourth proportional to 4,907.52, 7,361.66 and 2,946.51 is: 4,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.52 : 7,361.66 = 2,946.51 : x
  2. Step 2: Convert to fraction form
    4,907.52/7,361.66 = 2,946.51/x
  3. Step 3: Cross multiply
    4,907.52x = 7,361.66 × 2,946.51
  4. Step 4: Simplify right side
    4,907.52x = 21,691,190.07
  5. Step 5: Solve for x
    x = 21,691,190.07/4,907.52
  6. Step 6: Final answer
    x = 4,419.99

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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.