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Finding the Fourth Proportional to 3,410.40, 5,109.95 and 1,188.05

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Solution

The fourth proportional to 3,410.40, 5,109.95 and 1,188.05 is: 1,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.40 : 5,109.95 = 1,188.05 : x
  2. Step 2: Convert to fraction form
    3,410.40/5,109.95 = 1,188.05/x
  3. Step 3: Cross multiply
    3,410.40x = 5,109.95 × 1,188.05
  4. Step 4: Simplify right side
    3,410.40x = 6,070,882.26
  5. Step 5: Solve for x
    x = 6,070,882.26/3,410.40
  6. Step 6: Final answer
    x = 1,780.11

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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.