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Finding the Fourth Proportional to 4,596.85, 6,893.23 and 1,309.20

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Solution

The fourth proportional to 4,596.85, 6,893.23 and 1,309.20 is: 1,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.85 : 6,893.23 = 1,309.20 : x
  2. Step 2: Convert to fraction form
    4,596.85/6,893.23 = 1,309.20/x
  3. Step 3: Cross multiply
    4,596.85x = 6,893.23 × 1,309.20
  4. Step 4: Simplify right side
    4,596.85x = 9,024,616.72
  5. Step 5: Solve for x
    x = 9,024,616.72/4,596.85
  6. Step 6: Final answer
    x = 1,963.22

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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.