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Finding the Fourth Proportional to 3,312.97, 4,969.55 and 847.82

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Solution

The fourth proportional to 3,312.97, 4,969.55 and 847.82 is: 1,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.97 : 4,969.55 = 847.82 : x
  2. Step 2: Convert to fraction form
    3,312.97/4,969.55 = 847.82/x
  3. Step 3: Cross multiply
    3,312.97x = 4,969.55 × 847.82
  4. Step 4: Simplify right side
    3,312.97x = 4,213,283.88
  5. Step 5: Solve for x
    x = 4,213,283.88/3,312.97
  6. Step 6: Final answer
    x = 1,271.75

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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.