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Finding the Fourth Proportional to 5,312.80, 7,962.64 and 1,846

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Solution

The fourth proportional to 5,312.80, 7,962.64 and 1,846 is: 2,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.80 : 7,962.64 = 1,846 : x
  2. Step 2: Convert to fraction form
    5,312.80/7,962.64 = 1,846/x
  3. Step 3: Cross multiply
    5,312.80x = 7,962.64 × 1,846
  4. Step 4: Simplify right side
    5,312.80x = 14,699,033.44
  5. Step 5: Solve for x
    x = 14,699,033.44/5,312.80
  6. Step 6: Final answer
    x = 2,766.72

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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.