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Finding the Fourth Proportional to 4,907.80, 7,361.69 and 1,988.16

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Solution

The fourth proportional to 4,907.80, 7,361.69 and 1,988.16 is: 2,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.80 : 7,361.69 = 1,988.16 : x
  2. Step 2: Convert to fraction form
    4,907.80/7,361.69 = 1,988.16/x
  3. Step 3: Cross multiply
    4,907.80x = 7,361.69 × 1,988.16
  4. Step 4: Simplify right side
    4,907.80x = 14,636,170.84
  5. Step 5: Solve for x
    x = 14,636,170.84/4,907.80
  6. Step 6: Final answer
    x = 2,982.23

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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.