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Finding the Fourth Proportional to 5,109.90, 7,660.80 and 2,801.40

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Solution

The fourth proportional to 5,109.90, 7,660.80 and 2,801.40 is: 4,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.90 : 7,660.80 = 2,801.40 : x
  2. Step 2: Convert to fraction form
    5,109.90/7,660.80 = 2,801.40/x
  3. Step 3: Cross multiply
    5,109.90x = 7,660.80 × 2,801.40
  4. Step 4: Simplify right side
    5,109.90x = 21,460,965.12
  5. Step 5: Solve for x
    x = 21,460,965.12/5,109.90
  6. Step 6: Final answer
    x = 4,199.88

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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.