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Finding the Fourth Proportional to 3,408.99, 5,111.87 and 1,187.05

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Solution

The fourth proportional to 3,408.99, 5,111.87 and 1,187.05 is: 1,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.99 : 5,111.87 = 1,187.05 : x
  2. Step 2: Convert to fraction form
    3,408.99/5,111.87 = 1,187.05/x
  3. Step 3: Cross multiply
    3,408.99x = 5,111.87 × 1,187.05
  4. Step 4: Simplify right side
    3,408.99x = 6,068,013.79
  5. Step 5: Solve for x
    x = 6,068,013.79/3,408.99
  6. Step 6: Final answer
    x = 1,780.00

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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.