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Finding the Fourth Proportional to 3,855.09, 5,780.19 and 2,124.93

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Solution

The fourth proportional to 3,855.09, 5,780.19 and 2,124.93 is: 3,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.09 : 5,780.19 = 2,124.93 : x
  2. Step 2: Convert to fraction form
    3,855.09/5,780.19 = 2,124.93/x
  3. Step 3: Cross multiply
    3,855.09x = 5,780.19 × 2,124.93
  4. Step 4: Simplify right side
    3,855.09x = 12,282,499.14
  5. Step 5: Solve for x
    x = 12,282,499.14/3,855.09
  6. Step 6: Final answer
    x = 3,186.05

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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.