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Finding the Fourth Proportional to 4,461.90, 6,687.99 and 3,159.42

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Solution

The fourth proportional to 4,461.90, 6,687.99 and 3,159.42 is: 4,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.90 : 6,687.99 = 3,159.42 : x
  2. Step 2: Convert to fraction form
    4,461.90/6,687.99 = 3,159.42/x
  3. Step 3: Cross multiply
    4,461.90x = 6,687.99 × 3,159.42
  4. Step 4: Simplify right side
    4,461.90x = 21,130,169.37
  5. Step 5: Solve for x
    x = 21,130,169.37/4,461.90
  6. Step 6: Final answer
    x = 4,735.69

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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.