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Finding the Fourth Proportional to 4,757.18, 7,137.82 and 1,984.40

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Solution

The fourth proportional to 4,757.18, 7,137.82 and 1,984.40 is: 2,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.18 : 7,137.82 = 1,984.40 : x
  2. Step 2: Convert to fraction form
    4,757.18/7,137.82 = 1,984.40/x
  3. Step 3: Cross multiply
    4,757.18x = 7,137.82 × 1,984.40
  4. Step 4: Simplify right side
    4,757.18x = 14,164,283.57
  5. Step 5: Solve for x
    x = 14,164,283.57/4,757.18
  6. Step 6: Final answer
    x = 2,977.45

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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.